The algebraic structure of finitely generated <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>L</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="script">F</mml:mi><mml:mo>,</mml:mo><mml:mi>K</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-modules and the Helly theorem in random normed modules-Reference-Cited by-同舟云学术

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The algebraic structure of finitely generated L0(F,K)-modules and the Helly theorem in random normed modules

Published:2011-09 Issue:2 Volume:381 Page:833-842
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Guo Tiexin,Shi Guang

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference26 articles.

1. Probabilistic Metric Spaces;Schweizer,1983

2. On the definition of a probabilistic normed space;Alsina;Aequationes Math.,1993

3. On the definition of a probabilistic inner product space;Alsina;Rend. Mat.,1997

4. Continuity property of probabilistic norms;Alsina;J. Math. Anal. Appl.,1997

5. A study of boundedness in probabilistic normed spaces;Lafuerza-Guillén;J. Math. Anal. Appl.,1999

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1. The relations among the notions of various kinds of stability and their applications;Banach Journal of Mathematical Analysis;2024-05-24

2. The fundamental theorem of affine geometry in regular L0-modules;Journal of Mathematical Analysis and Applications;2022-03

3. L0-convex compactness and its applications to random convex optimization and random variational inequalities;Optimization;2020-02-13

4. On the kernel space for an L 0 ‐linear function;Mathematical Methods in the Applied Sciences;2018-11-08

5. The Serre–Swan theorem for normed modules;Rendiconti del Circolo Matematico di Palermo Series 2;2018-08-02

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