Probabilistic Normed Riesz Spaces
In this paper, the concepts of probabilistic normed Riesz space and probabilistic Banach lattice are introduced, and their basic properties are studied. In this context, some continuity and convergence theorems are proved.
Saved in:
| Published in | Acta mathematica Sinica. English series Vol. 28; no. 7; pp. 1401 - 1410 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
01.07.2012
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In this paper, the concepts of probabilistic normed Riesz space and probabilistic Banach lattice are introduced, and their basic properties are studied. In this context, some continuity and convergence theorems are proved. |
|---|---|
| AbstractList | In this paper, the concepts of probabilistic normed Riesz space and probabilistic Banach lattice are introduced, and their basic properties are studied. In this context, some continuity and convergence theorems are proved. In this paper, the concepts of probabilistic normed Riesz space and probabilistic Banach lattice are introduced, and their basic properties are studied. In this context, some continuity and convergence theorems are proved .[PUBLICATION ABSTRACT] |
| Author | Celaleddin SENCIMEN Serpil PEHLIVAN |
| AuthorAffiliation | Department of Mathematics, Faculty of Arts and Sciences, Mehmet Akif Ersoy University, 15030 Burdur, Turkey Department of Mathematics, Faculty of Arts and Sciences, Siileyman Demirel University, 32260 Isparta, Turkey |
| Author_xml | – sequence: 1 givenname: Celaleddin surname: Sençimen fullname: Sençimen, Celaleddin – sequence: 2 givenname: Serpil surname: Pehlivan fullname: Pehlivan, Serpil |
| BookMark | eNp10E1LAzEQBuAgFWyrP8BbixcvqzPJJrt7lOIXFBU_zmE3ma1b2k2btIf6603ZIiJ4SgjPOxPeAeu1riXGzhGuECC7DgiIaQLIExAgk90R62MqiiRTmPUO91yiOmGDEOYAUhag-mz84l1VVs2iCZvGjJ6cX5IdvTYUvkZvq9JQOGXHdbkIdHY4h-zj7vZ98pBMn-8fJzfTxIhMbhJV1WkhK0sIRLm1nFDZ-MStyYu6LLNK5UamEJ2wWS0qgSCpJm6sQJlXYsguu7kr79ZbChu9bIKhxaJsyW2DRhAouEIhI734Q-du69v4u6iwUKBEnkaFnTLeheCp1ivfLEu_i0jvS9NdaTqWpvel6V3M8C4Tom1n5H9P_j80Piz6dO1sHXM_m1IeNVcgvgHbUHrV |
| CitedBy_id | crossref_primary_10_1007_s11784_018_0513_x crossref_primary_10_1007_s10013_015_0152_0 crossref_primary_10_1155_2014_909364 |
| Cites_doi | 10.1007/BF01834000 10.1007/s00009-006-0078-6 10.1016/j.na.2010.04.050 10.1007/978-3-642-60637-3 10.2307/1968915 10.1007/s10114-007-6509-x 10.1137/1115041 10.1006/jmaa.1998.6261 10.1006/jmaa.1997.5810 10.1073/pnas.37.4.226 10.1007/BF02564846 10.1016/j.jfa.2010.02.002 10.1017/S0004972700023625 10.1006/jmaa.1997.5333 10.32917/hmj/1558306491 10.14492/hokmj/1530864151 10.1090/surv/105 10.1016/S1385-7258(63)50014-6 |
| ContentType | Journal Article |
| Copyright | Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2012 |
| Copyright_xml | – notice: Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2012 |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 3V. 7SC 7TB 7WY 7WZ 7XB 87Z 88I 8AL 8FD 8FE 8FG 8FK 8FL 8G5 ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BEZIV BGLVJ CCPQU DWQXO FR3 FRNLG F~G GNUQQ GUQSH HCIFZ JQ2 K60 K6~ K7- KR7 L.- L6V L7M L~C L~D M0C M0N M2O M2P M7S MBDVC P5Z P62 PQBIZ PQBZA PQEST PQQKQ PQUKI PTHSS Q9U |
| DOI | 10.1007/s10114-012-0305-y |
| DatabaseName | 维普_期刊 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Access via ABI/INFORM (ProQuest) ABI/INFORM Global (PDF only) ProQuest Central (purchase pre-March 2016) ABI/INFORM Collection Science Database (Alumni Edition) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) ABI/INFORM Collection (Alumni Edition) Research Library (Alumni Edition) Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland Advanced Technologies & Aerospace Database (1962 - current) ProQuest Central Essentials AUTh Library subscriptions: ProQuest Central ProQuest Business Premium Collection Technology Collection ProQuest One Community College ProQuest Central Engineering Research Database Business Premium Collection (Alumni) ABI/INFORM Global (Corporate) ProQuest Central Student Research Library Prep SciTech Premium Collection (Proquest) (PQ_SDU_P3) ProQuest Computer Science Collection ProQuest Business Collection (Alumni Edition) ProQuest Business Collection Computer Science Database Civil Engineering Abstracts ABI/INFORM Professional Advanced ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional ABI/INFORM Collection Computing Database ProQuest research library ProQuest Science Journals ProQuest Engineering Database Research Library (Corporate) ProQuest Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest One Business ProQuest One Business (Alumni) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef ProQuest Business Collection (Alumni Edition) Research Library Prep Computer Science Database ProQuest Central Student ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts SciTech Premium Collection ABI/INFORM Complete Engineering Collection Advanced Technologies & Aerospace Collection Business Premium Collection ABI/INFORM Global Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest Business Collection ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic ABI/INFORM Global (Corporate) ProQuest One Business Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Central (Alumni Edition) ProQuest One Community College Research Library (Alumni Edition) ProQuest Central ABI/INFORM Professional Advanced ProQuest Engineering Collection ProQuest Central Korea ProQuest Research Library Advanced Technologies Database with Aerospace ABI/INFORM Complete (Alumni Edition) Civil Engineering Abstracts ProQuest Computing ABI/INFORM Global (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database Materials Science & Engineering Collection ProQuest One Business (Alumni) ProQuest Central (Alumni) Business Premium Collection (Alumni) |
| DatabaseTitleList | Civil Engineering Abstracts ProQuest Business Collection (Alumni Edition) |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| DocumentTitleAlternate | Probabilistic Normed Riesz Spaces |
| EISSN | 1439-7617 |
| EndPage | 1410 |
| ExternalDocumentID | 2683167341 10_1007_s10114_012_0305_y 42101260 |
| Genre | Feature |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .86 .VR 06D 0R~ 0VY 1N0 1SB 2.D 23M 2J2 2JN 2JY 2KG 2KM 2LR 2P1 2RA 2VQ 2~H 30V 3V. 4.4 406 408 40D 40E 5GY 5VR 5VS 67Z 6NX 7WY 88I 8FE 8FG 8FL 8G5 8TC 8UJ 92L 95- 95. 95~ 96X AAAVM AABHQ AABYN AAFGU AAHNG AAIAL AAJKR AANZL AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABDBF ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJCF ABJOX ABKAS ABKCH ABKTR ABMNI ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABUWG ABWNU ABXPI ACAOD ACBMV ACBRV ACBXY ACBYP ACGFS ACGOD ACHSB ACHXU ACIGE ACIPQ ACIWK ACKNC ACMDZ ACMLO ACOKC ACOMO ACSNA ACTTH ACVWB ACWMK ACZOJ ADHHG ADHIR ADIMF ADINQ ADKNI ADKPE ADMDM ADOXG ADQRH ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEEQQ AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AEOHA AEPOP AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFEXP AFGCZ AFKRA AFLOW AFMKY AFNRJ AFQWF AFUIB AFWTZ AFZKB AGAYW AGDGC AGGBP AGGDS AGJBK AGMZJ AGPAZ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARAPS ARMRJ ASPBG AVWKF AXYYD AZFZN AZQEC B-. B0M BA0 BAPOH BDATZ BENPR BEZIV BGLVJ BGNMA BPHCQ CAG CCEZO CCPQU CCVFK CHBEP COF CQIGP CS3 CSCUP CW9 DDRTE DL5 DNIVK DPUIP DWQXO EAD EAP EAS EBLON EBS EIOEI EJD EMK EPL ESBYG EST ESX F5P FA0 FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRNLG FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 GROUPED_ABI_INFORM_COMPLETE GUQSH HCIFZ HF~ HG6 HMJXF HRMNR HVGLF HZ~ IHE IJ- IKXTQ ITM IWAJR IXC IZQ I~X I~Z J-C JBSCW JZLTJ K60 K6V K6~ K7- KDC KOV L6V LAS LLZTM M0C M0N M2O M2P M4Y M7S MA- N2Q NB0 NDZJH NPVJJ NQJWS NU0 O9- O93 O9G O9I O9J P19 P62 P9R PF0 PQBIZ PQQKQ PROAC PT4 PT5 PTHSS Q2X QOS R4E R89 R9I ROL RPX RSV S16 S1Z S26 S27 S28 S3B SAP SCL SCLPG SDD SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 T16 TSG TSK TSV TUC TUS U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR ZMTXR ZWQNP ~8M ~A9 ~WA AAPBV ABPTK AACDK AAEOY AAJBT AASML AAYXX ABAKF ACDTI AEARS AEFQL AEMSY AGQEE AGRTI AIGIU CITATION H13 PQBZA 7SC 7TB 7XB 8AL 8FD 8FK FR3 JQ2 KR7 L.- L7M L~C L~D MBDVC PQEST PQUKI Q9U AAYZH |
| ID | FETCH-LOGICAL-c375t-6bf495bde10ee8dd2e16df492dc89faa7b68c5406bf3d7f3b3105efe2cd3158b3 |
| IEDL.DBID | AGYKE |
| ISSN | 1439-8516 |
| IngestDate | Sat Oct 26 01:19:05 EDT 2024 Thu Oct 10 17:28:42 EDT 2024 Thu Sep 12 16:34:52 EDT 2024 Sat Dec 16 12:02:27 EST 2023 Wed Feb 14 10:46:10 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 7 |
| Keywords | probabilistic norm Cauchy system 46B42 Probabilistic normed Riesz space probabilistic Banach lattice 46S50 order convergence strong convergence |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c375t-6bf495bde10ee8dd2e16df492dc89faa7b68c5406bf3d7f3b3105efe2cd3158b3 |
| Notes | In this paper, the concepts of probabilistic normed Riesz space and probabilistic Banach lattice are introduced, and their basic properties are studied. In this context, some continuity and convergence theorems are proved. Probabilistic normed Riesz space, probabilistic Banach lattice, order convergence, strong convergence, probabilistic norm Cauchy system 11-2039/O1 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 1019606384 |
| PQPubID | 54875 |
| PageCount | 10 |
| ParticipantIDs | proquest_miscellaneous_1031326135 proquest_journals_1019606384 crossref_primary_10_1007_s10114_012_0305_y springer_journals_10_1007_s10114_012_0305_y chongqing_primary_42101260 |
| PublicationCentury | 2000 |
| PublicationDate | 2012-07-01 |
| PublicationDateYYYYMMDD | 2012-07-01 |
| PublicationDate_xml | – month: 07 year: 2012 text: 2012-07-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Heidelberg |
| PublicationPlace_xml | – name: Heidelberg |
| PublicationTitle | Acta mathematica Sinica. English series |
| PublicationTitleAbbrev | Acta. Math. Sin.-English Ser |
| PublicationTitleAlternate | Acta Mathematica Sinica |
| PublicationYear | 2012 |
| Publisher | Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society Springer Nature B.V |
| Publisher_xml | – name: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society – name: Springer Nature B.V |
| References | Kakutani (CR4) 1941; 42 Guo, Ma (CR13) 2004; 6 Taylor (CR16) 1975; 12 Menger (CR9) 1951; 37 Sempi (CR23) 2006; 3 Šerstnev (CR12) 1963; 149 Guo (CR26) 2010; 258 Sherwood (CR15) 1979; 3 Schweizer, Sklar (CR24) 1983 Nakano (CR7) 1953; 12 Mustari (CR14) 1970; 15 Guo, Zeng (CR27) 2010; 73 Choudhury, Das (CR11) 2008; 24 Alsina, Schweizer, Sklar (CR17) 1993; 46 Lafuerza Guillén, Rodríguez Lallena, Sempi (CR21) 1999; 232 Freudenthal (CR2) 1936; 39 CR8 Alsina, Schweizer, Sklar (CR18) 1997; 208 Riesz (CR1) 1928; 3 Lafuerza Guillén, Rodríguez Lallena, Sempi (CR19) 1997; 17 Shisheng (CR10) 1985; 1 Lafuerza Guillén, Rodríguez Lallena, Sempi (CR20) 1998; 220 Lafuerza Guillén (CR22) 2001; 21 Kantorovich (CR3) 1937; 2 Maeda, Ogasawara (CR6) 1942; 12 Luxemburg, Zaanen (CR5) 1963; 25 Zaanen (CR25) 1997 A. C. Zaanen (305_CR25) 1997 A. N. Šerstnev (305_CR12) 1963; 149 C. Sempi (305_CR23) 2006; 3 F. Maeda (305_CR6) 1942; 12 K. Menger (305_CR9) 1951; 37 Z. Shisheng (305_CR10) 1985; 1 H. Sherwood (305_CR15) 1979; 3 R. L. Taylor (305_CR16) 1975; 12 H. Freudenthal (305_CR2) 1936; 39 B. Schweizer (305_CR24) 1983 C. Alsina (305_CR17) 1993; 46 C. Alsina (305_CR18) 1997; 208 B. Lafuerza Guillén (305_CR21) 1999; 232 T. X. Guo (305_CR27) 2010; 73 B. Lafuerza Guillén (305_CR20) 1998; 220 L. V. Kantorovich (305_CR3) 1937; 2 B. Lafuerza Guillén (305_CR22) 2001; 21 F. Riesz (305_CR1) 1928; 3 B. S. Choudhury (305_CR11) 2008; 24 W. A. J. Luxemburg (305_CR5) 1963; 25 H. Nakano (305_CR7) 1953; 12 T. X. Guo (305_CR13) 2004; 6 B. Lafuerza Guillén (305_CR19) 1997; 17 S. Kakutani (305_CR4) 1941; 42 D. H. Mustari (305_CR14) 1970; 15 T. X. Guo (305_CR26) 2010; 258 305_CR8 |
| References_xml | – volume: 149 start-page: 280 year: 1963 end-page: 283 ident: CR12 article-title: On the notion of a random normed space publication-title: Dokl. Akad. Nauk contributor: fullname: Šerstnev – volume: 12 start-page: 17 year: 1942 end-page: 35 ident: CR6 article-title: Representation of vector lattices publication-title: J. Sci. Hiroshima Univ. A contributor: fullname: Ogasawara – volume: 46 start-page: 91 year: 1993 end-page: 98 ident: CR17 article-title: On the definition of a probabilistic normed space publication-title: Aequationes Math. doi: 10.1007/BF01834000 contributor: fullname: Sklar – volume: 3 start-page: 283 year: 2006 end-page: 300 ident: CR23 article-title: A short and partial history of probabilistic normed spaces publication-title: Mediterr. J. Math. doi: 10.1007/s00009-006-0078-6 contributor: fullname: Sempi – volume: 73 start-page: 1239 year: 2010 end-page: 1263 ident: CR27 article-title: Random strict convexity and random uniform convexity in random normed modules publication-title: Nonlinear Anal. doi: 10.1016/j.na.2010.04.050 contributor: fullname: Zeng – year: 1997 ident: CR25 publication-title: Introduction to Operator Theory in Riesz Spaces doi: 10.1007/978-3-642-60637-3 contributor: fullname: Zaanen – year: 1983 ident: CR24 publication-title: Probabilistic Metric Spaces contributor: fullname: Sklar – volume: 42 start-page: 523 year: 1941 end-page: 537 ident: CR4 article-title: Concrete representation of abstract (L)-spaces and the mean ergodic theorem publication-title: Ann. Math. doi: 10.2307/1968915 contributor: fullname: Kakutani – volume: 6 start-page: 16 year: 2004 end-page: 38 ident: CR13 article-title: Some reviews on various definitions of a random conjugate space together with various kinds of boundedness of a random linear functional publication-title: Acta Anal. Funct. Appl. contributor: fullname: Ma – volume: 17 start-page: 237 year: 1997 end-page: 252 ident: CR19 article-title: Some classes of probabilistic normed spaces publication-title: Rend. Mat. contributor: fullname: Sempi – volume: 24 start-page: 1379 year: 2008 end-page: 1386 ident: CR11 article-title: A new contraction principle in Menger spaces publication-title: Acta Mathematica Sinica, English Series doi: 10.1007/s10114-007-6509-x contributor: fullname: Das – volume: 15 start-page: 337 year: 1970 end-page: 342 ident: CR14 article-title: On almost sure convergence in linear spaces of random variables publication-title: Theory Probab. Appl. doi: 10.1137/1115041 contributor: fullname: Mustari – volume: 232 start-page: 183 year: 1999 end-page: 196 ident: CR21 article-title: A study of boundedness in probabilistic normed spaces publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1998.6261 contributor: fullname: Sempi – ident: CR8 – volume: 220 start-page: 462 year: 1998 end-page: 476 ident: CR20 article-title: Probabilistic norms for linear operators publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1997.5810 contributor: fullname: Sempi – volume: 37 start-page: 226 year: 1951 end-page: 229 ident: CR9 article-title: Probabilistic geometry publication-title: Proc. Natl. Acad. Sci. USA doi: 10.1073/pnas.37.4.226 contributor: fullname: Menger – volume: 1 start-page: 366 year: 1985 end-page: 377 ident: CR10 article-title: On the theory of probabilistic metric spaces with applications publication-title: Acta Mathematica Sinica (New Ser.) doi: 10.1007/BF02564846 contributor: fullname: Shisheng – volume: 21 start-page: 17 year: 2001 end-page: 28 ident: CR22 article-title: D-bounded sets in probabilistic normed spaces and in their products publication-title: Rend. Mat. contributor: fullname: Lafuerza Guillén – volume: 39 start-page: 641 year: 1936 end-page: 651 ident: CR2 article-title: Teilweise geordnete Modulen publication-title: Proc. Acad. Amsterdam contributor: fullname: Freudenthal – volume: 12 start-page: 87 year: 1953 end-page: 104 ident: CR7 article-title: Linear topologies on semi-ordered linear spaces publication-title: J. Fac. Sci. Hokkaido Univ. contributor: fullname: Nakano – volume: 2 start-page: 121 year: 1937 end-page: 168 ident: CR3 article-title: Lineare halbgeordnete Raume publication-title: Receueil Math. contributor: fullname: Kantorovich – volume: 258 start-page: 3024 year: 2010 end-page: 3047 ident: CR26 article-title: Relations between some basic results derived from two kinds of topologies for a random locally convex module publication-title: J. Funct. Anal. doi: 10.1016/j.jfa.2010.02.002 contributor: fullname: Guo – volume: 3 start-page: 71 year: 1979 end-page: 77 ident: CR15 article-title: Isomorphically isometric probabilistic normed linear spaces publication-title: Stochastica contributor: fullname: Sherwood – volume: 25 start-page: 135 year: 1963 end-page: 147 ident: CR5 article-title: Notes on Banach function spaces I publication-title: Indag. Math. contributor: fullname: Zaanen – volume: 12 start-page: 156 year: 1975 end-page: 183 ident: CR16 article-title: Convergence of elements in random normed spaces publication-title: Bull. Austral. Math. Soc. doi: 10.1017/S0004972700023625 contributor: fullname: Taylor – volume: 3 start-page: 143 year: 1928 end-page: 148 ident: CR1 article-title: Sur la décomposition des opérations linéaires publication-title: Proc. Internat. Congress of Math. (Bologna) contributor: fullname: Riesz – volume: 208 start-page: 446 year: 1997 end-page: 452 ident: CR18 article-title: Continuity properties of probabilistic norms publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1997.5333 contributor: fullname: Sklar – volume: 37 start-page: 226 year: 1951 ident: 305_CR9 publication-title: Proc. Natl. Acad. Sci. USA doi: 10.1073/pnas.37.4.226 contributor: fullname: K. Menger – volume: 15 start-page: 337 year: 1970 ident: 305_CR14 publication-title: Theory Probab. Appl. doi: 10.1137/1115041 contributor: fullname: D. H. Mustari – volume: 258 start-page: 3024 year: 2010 ident: 305_CR26 publication-title: J. Funct. Anal. doi: 10.1016/j.jfa.2010.02.002 contributor: fullname: T. X. Guo – volume: 232 start-page: 183 year: 1999 ident: 305_CR21 publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1998.6261 contributor: fullname: B. Lafuerza Guillén – volume: 6 start-page: 16 year: 2004 ident: 305_CR13 publication-title: Acta Anal. Funct. Appl. contributor: fullname: T. X. Guo – volume: 46 start-page: 91 year: 1993 ident: 305_CR17 publication-title: Aequationes Math. doi: 10.1007/BF01834000 contributor: fullname: C. Alsina – volume: 3 start-page: 71 year: 1979 ident: 305_CR15 publication-title: Stochastica contributor: fullname: H. Sherwood – volume: 220 start-page: 462 year: 1998 ident: 305_CR20 publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1997.5810 contributor: fullname: B. Lafuerza Guillén – volume: 24 start-page: 1379 year: 2008 ident: 305_CR11 publication-title: Acta Mathematica Sinica, English Series doi: 10.1007/s10114-007-6509-x contributor: fullname: B. S. Choudhury – volume: 2 start-page: 121 year: 1937 ident: 305_CR3 publication-title: Receueil Math. contributor: fullname: L. V. Kantorovich – volume: 12 start-page: 17 year: 1942 ident: 305_CR6 publication-title: J. Sci. Hiroshima Univ. A doi: 10.32917/hmj/1558306491 contributor: fullname: F. Maeda – volume-title: Probabilistic Metric Spaces year: 1983 ident: 305_CR24 contributor: fullname: B. Schweizer – volume: 42 start-page: 523 year: 1941 ident: 305_CR4 publication-title: Ann. Math. doi: 10.2307/1968915 contributor: fullname: S. Kakutani – volume: 12 start-page: 87 year: 1953 ident: 305_CR7 publication-title: J. Fac. Sci. Hokkaido Univ. doi: 10.14492/hokmj/1530864151 contributor: fullname: H. Nakano – volume: 12 start-page: 156 year: 1975 ident: 305_CR16 publication-title: Bull. Austral. Math. Soc. doi: 10.1017/S0004972700023625 contributor: fullname: R. L. Taylor – ident: 305_CR8 doi: 10.1090/surv/105 – volume: 3 start-page: 283 year: 2006 ident: 305_CR23 publication-title: Mediterr. J. Math. doi: 10.1007/s00009-006-0078-6 contributor: fullname: C. Sempi – volume: 73 start-page: 1239 year: 2010 ident: 305_CR27 publication-title: Nonlinear Anal. doi: 10.1016/j.na.2010.04.050 contributor: fullname: T. X. Guo – volume: 208 start-page: 446 year: 1997 ident: 305_CR18 publication-title: J. Math. Anal. Appl. doi: 10.1006/jmaa.1997.5333 contributor: fullname: C. Alsina – volume: 3 start-page: 143 year: 1928 ident: 305_CR1 publication-title: Proc. Internat. Congress of Math. (Bologna) contributor: fullname: F. Riesz – volume: 25 start-page: 135 year: 1963 ident: 305_CR5 publication-title: Indag. Math. doi: 10.1016/S1385-7258(63)50014-6 contributor: fullname: W. A. J. Luxemburg – volume: 39 start-page: 641 year: 1936 ident: 305_CR2 publication-title: Proc. Acad. Amsterdam contributor: fullname: H. Freudenthal – volume: 17 start-page: 237 year: 1997 ident: 305_CR19 publication-title: Rend. Mat. contributor: fullname: B. Lafuerza Guillén – volume: 1 start-page: 366 year: 1985 ident: 305_CR10 publication-title: Acta Mathematica Sinica (New Ser.) doi: 10.1007/BF02564846 contributor: fullname: Z. Shisheng – volume: 21 start-page: 17 year: 2001 ident: 305_CR22 publication-title: Rend. Mat. contributor: fullname: B. Lafuerza Guillén – volume: 149 start-page: 280 year: 1963 ident: 305_CR12 publication-title: Dokl. Akad. Nauk contributor: fullname: A. N. Šerstnev – volume-title: Introduction to Operator Theory in Riesz Spaces year: 1997 ident: 305_CR25 doi: 10.1007/978-3-642-60637-3 contributor: fullname: A. C. Zaanen |
| SSID | ssj0055906 |
| Score | 1.9610387 |
| Snippet | In this paper, the concepts of probabilistic normed Riesz space and probabilistic Banach lattice are introduced, and their basic properties are studied. In... |
| SourceID | proquest crossref springer chongqing |
| SourceType | Aggregation Database Publisher |
| StartPage | 1401 |
| SubjectTerms | Banach spaces Banach格 Continuity Convergence Lattices Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Probabilistic methods Probability Probability theory Riesz空间 Studies Theorems 收敛定理 概率范数 连续性 |
| SummonAdditionalLinks | – databaseName: ProQuest Technology Collection dbid: 8FG link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8QwEB50vehBfGLXVbrgSQm0Sdq0JxFxXYQVERf2VppH9dTu87D-eid9rQp6bdIGvmQm33SSbwCuUoW8VomAyNiXhJswI3HEKeGcG6qEULSsEjF6Dodj_jQJJvUPt0V9rLLxiaWj1oWy_8jRun1LtlnEb6czYqtG2exqXUJjG3Z8KoQNvqLBY-OJkSx71e0iFhNkFmGT1ayuzmEkgIE0JXbJk7XVVvgo8vcZ7hg_96gN8fyVKy23oMEB7Nfc0b2rJvsQtkx-BHujVnh1cQz9lzkaqD3wavWX3RwZqdHuK4bDny76DnQKJzAePLzdD0ldBYEoJoIlCWWGQYzUxveMibSmxg81PqJaRXGWpkKGkULehf2YFhmTSNgCkyHSmvlBJNkpdPIiN2fgemHqCeWjiWacSz9LjcI3FDdR6jHjSQe6LQbJtFK7SDi1EmCh58B1A0rbttE8tmgm2C-xaCZrB3oNbEltFItkM4UO9NtmXM42R5HmpljZPlZLEjlG4MBNA_f3T_wxYPf_Ac9hl5Zzbc_Z9qCznK_MBbKJpbwsl8wXH6bE4g priority: 102 providerName: ProQuest |
| Title | Probabilistic Normed Riesz Spaces |
| URI | http://lib.cqvip.com/qk/85800X/201207/42101260.html https://link.springer.com/article/10.1007/s10114-012-0305-y https://www.proquest.com/docview/1019606384 https://search.proquest.com/docview/1031326135 |
| Volume | 28 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV07T8MwED6VdoGBNyKloFRiArlKHOc1FtRSgYoQohJMUew4IFVKoU2H9tdzzqvlNTBFsi-24vOdP8d3nwHOQ4G4Vrg24b7JCZNOTHyPUcIYk1S4rqDZLRHDe2cwYrfP9nMNaPXrIhl3yhPJzFGv5bohdMedLyVqjpLFBjSKvNNG9-blrlf6X4TIRp5TZPkE8YRTnmX-1ohiVHibJK8f2OHXlWkFN7-dkGYLT38nTwacZXyFKt5k3JmnvCOWP9kc__FNu7Bd4FC9m0-cPajJZB-2hhWJ6-wA2g9TNHYVPKu4nPUE0a2M9EfcWi919EPoYA5h1O89XQ9IcaMCEZZrp8ThMW6IeCRNQ0oviqg0nQiLaCQ8Pw5DlzueQAyHclbkxhZH8GfLGLUWWabtcesI6skkkcegG05ouMJEc48Z42YcSoFvCCa90LCkwTVoViMbvOfMGQGjik7MMTS4KIe6qlvxJ6tBCVAuUIMSLDRolcoICgObqcg0tfeyPKZBu6pG01DnHWEiJ3Mlo3gpEa_YGlyWClhv4o8Om_-SPoFNmmlQhfC2oJ5O5_IUgUrKz2DD69-cFfMTn1e9-4dHLB3R7ic4A-E- |
| link.rule.ids | 315,783,787,12777,21400,27936,27937,33385,33386,33756,33757,41093,41535,42162,42604,43612,43817,52123,52246 |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LT8MwDLZgHIAD4ik6BnQSJ1CktklfJ4QQY8A2IbRJu1XNo3Bq9zyMX4_T1wAJrk3SSE5sf46TzwBXsUBcK3yX8NDmhCkvIWHAHMIYU47wfeHkVSL6A687Ys9jd1weuM3La5WVTcwNtcyEPiNH7bY12KYBu51Mia4apbOrZQmNTdhiFH21fineeawsMYJlq3hdREOCyMKrsprF0zmMBDCQdoje8mSluRU-svR9ih7jp49aA89fudLcBXX2Ya_EjuZdsdgHsKHSQ9jt18Sr8yNov85QQfWFV82_bKaISJU03zAc_jTRdqBROIZR52F43yVlFQQiqO8uiMcTDGK4VLalVCClo2xP4idHiiBM4tjnXiAQd2E_Kv2EcgRsrkpQ0pLabsDpCTTSLFWnYFpebPnCRhVNGON2EiuBIwRTQWxRZXEDmrUMoknBdhExR1OAeZYB15VQ6rY157GWZoT9Ii3NaGVAqxJbVCrFPFovoQHtuhm3s85RxKnKlrqP5pJEjOEacFOJ-_sv_piw-f-El7DdHfZ7Ue9p8HIGO06-7vrObQsai9lSnSOyWPCLfPt8AWqmx8Q |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3JTsMwEB1BkRAcEKtIKZBKnEBWE9vZjhVQlaVVhajUWxQvgVNauhzK1zNOmrYgOHCNJ7b0PLbfaMbPAFeJRF4rA4-IyBWEaz8lUcgp4ZxrKoNA0vyViE7Xb_f548AbLN45nZTV7mVKsrjTYFSasmljpNLG2sU35PEYBlNiHJbMN2ELTyJmavr6tFluxciWneJ6EYsIUgu_TGv-1oURV3gfZm8fOPT3Q2rFPH8kS_MzqLUPewvyaDeL2T6ADZ0dwm5nqbw6OYJ6b4wr1FS8GgFmO0NKqpX9gvHwp42bB-4Kx9Bv3b_etsniGQQiWeBNiS9SjGKE0q6jdagU1a6v8BNVMozSJAmEH0okXmjHVJAygYzN0ylCrZjrhYKdQCUbZvoUbMdPnEC6uEZTzoWbJlriH5LrMHGYdoQF1SUG8aiQu4g5NRpgvmPBdQnKsm0lemzQjNEuNmjGcwtqJWzxYlVMTDmZCZhYyC2oL5vRn02SIsn0cGZsjJgkkgzPgpsS7vUu_hiw-i_rS9ju3bXi54fu0xns0NwLTAluDSrT8UyfI9GYiovcmb4Ae1DI_A |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Probabilistic+Normed+Riesz+Spaces&rft.jtitle=%E6%95%B0%E5%AD%A6%E5%AD%A6%E6%8A%A5%EF%BC%9A%E8%8B%B1%E6%96%87%E7%89%88&rft.au=Celaleddin+SENCIMEN+Serpil+PEHLIVAN&rft.date=2012-07-01&rft.issn=1439-8516&rft.eissn=1439-7617&rft.volume=28&rft.issue=7&rft.spage=1401&rft.epage=1410&rft_id=info:doi/10.1007%2Fs10114-012-0305-y&rft.externalDocID=42101260 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F85800X%2F85800X.jpg |