Some results on Berezin symbols
The Berezin symbols are used in the description of Schatten-von Neumann classes σ p , 0<p<∞, in the proof of a unicity theorem of Nikolski and in the approximation problem for inner functions.
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| Published in | Complex variables, theory & application Vol. 50; no. 3; pp. 185 - 193 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
20.02.2005
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0278-1077 1563-5066 |
| DOI | 10.1080/02781070500032861 |
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| Abstract | The Berezin symbols are used in the description of Schatten-von Neumann classes σ
p
, 0<p<∞, in the proof of a unicity theorem of Nikolski and in the approximation problem for inner functions. |
|---|---|
| AbstractList | The Berezin symbols are used in the description of Schatten-von Neumann classes σ
p
, 0<p<∞, in the proof of a unicity theorem of Nikolski and in the approximation problem for inner functions. |
| Author | Karaev, M.T. Saltan †, S. |
| Author_xml | – sequence: 1 givenname: M.T. surname: Karaev fullname: Karaev, M.T. email: garayev@fef.sdu.edu.tr – sequence: 2 givenname: S. surname: Saltan † fullname: Saltan †, S. |
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| Cites_doi | 10.1073/pnas.83.10.3072 10.1017/S144678870000135X 10.1016/j.jmaa.2004.01.049 10.1090/S0002-9947-1950-0051437-7 10.1007/978-1-4684-9330-6 10.4064/sm-127-2-113-136 10.4213/mzm415 10.5802/aif.1451 |
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| Copyright | Copyright Taylor & Francis Group, LLC 2005 |
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| References | Stroethoff K (bib7) 1998; 64 Nikolski N (bib10) 1995; 45 Gohberg IC (bib11) 1969 Karaev MT (bib12) 2000; 270 Malyshev VA (bib4) 1995 Bergman S (bib2) 1950 Axler S (bib16) 1998; 127 Pehlivan S (bib17) 2004; 299 Stroethoff K (bib6) 1990; 32 Korenblum B (bib5) 1995; 33 bib3 Fricain E (bib15) 1997; 247 bib1 Nordgren E (bib8) 1994; 73 Karaev MT (bib14) 2002; 72 Berger CA (bib9) 1986; 83 Zhu K (bib13) 1990 |
| References_xml | – volume: 83 start-page: 3072 year: 1986 ident: bib9 publication-title: Proc. Nat. Acad. Sci. USA doi: 10.1073/pnas.83.10.3072 – volume: 64 start-page: 136 year: 1998 ident: bib7 publication-title: J. Austral. Math. Soc., Ser. A doi: 10.1017/S144678870000135X – volume: 299 start-page: 333 year: 2004 ident: bib17 publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2004.01.049 – volume: 32 start-page: 153 year: 1990 ident: bib6 publication-title: J. Oper. Theory – volume-title: Operor Theory in Function Spaces, Marcel Dekker. Ins year: 1990 ident: bib13 – volume: 33 start-page: 353 year: 1995 ident: bib5 publication-title: J. Oper. Theory – ident: bib1 doi: 10.1090/S0002-9947-1950-0051437-7 – ident: bib3 doi: 10.1007/978-1-4684-9330-6 – volume-title: Introduction to the Theory of Linear Nonselfadjoint Operator year: 1969 ident: bib11 – volume: 270 start-page: 80 year: 2000 ident: bib12 publication-title: Zap. Nauch. Semin. POMI – volume: 247 start-page: 242 year: 1997 ident: bib15 publication-title: Zap. Nauch. Semin. POMI – volume: 127 start-page: 113 issue: 2 year: 1998 ident: bib16 publication-title: Stud. Math. doi: 10.4064/sm-127-2-113-136 – volume: 73 start-page: 362 year: 1994 ident: bib8 publication-title: Oper. Theory: Advances and Applications – volume: 72 start-page: 207 issue: 2 year: 2002 ident: bib14 publication-title: Matem. Zametki doi: 10.4213/mzm415 – volume: 45 start-page: 145 issue: 1 year: 1995 ident: bib10 publication-title: Ann. Inst. Fourier, Grenoble doi: 10.5802/aif.1451 – start-page: 145 volume-title: Zap. Nauch. Semin. POMI year: 1995 ident: bib4 – volume-title: Math. Serveys year: 1950 ident: bib2 |
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| Snippet | The Berezin symbols are used in the description of Schatten-von Neumann classes σ
p
, 0<p<∞, in the proof of a unicity theorem of Nikolski and in the... |
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| SubjectTerms | 2000 Mathematics Subject Classification: Primary 47B35 Berezin symbols Bergman space Compact operator Inner function Reproducing kernel |
| Title | Some results on Berezin symbols |
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