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.

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 28; no. 7; pp. 1401 - 1410
Main Authors Sençimen, Celaleddin, Pehlivan, Serpil
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.07.2012
Springer Nature B.V
Subjects
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
probabilistic norm Cauchy system
46B42
Probabilistic normed Riesz space
probabilistic Banach lattice
46S50
order convergence
strong convergence
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Summary: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.
Bibliography: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
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-012-0305-y