L0-Linear Modulus of a Random Linear Operator

We prove that there exists a unique L0-linear modulus for an a.s. bounded random linear operator on a specifical random normed module, which generalizes the classical case.

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Main Authors: Ming Liu, Xia Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/183197
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author Ming Liu
Xia Zhang
author_facet Ming Liu
Xia Zhang
author_sort Ming Liu
collection DOAJ
description We prove that there exists a unique L0-linear modulus for an a.s. bounded random linear operator on a specifical random normed module, which generalizes the classical case.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-cd2db24b31264cadb39a8c9d821be9c32025-02-03T01:26:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/183197183197L0-Linear Modulus of a Random Linear OperatorMing Liu0Xia Zhang1School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaWe prove that there exists a unique L0-linear modulus for an a.s. bounded random linear operator on a specifical random normed module, which generalizes the classical case.http://dx.doi.org/10.1155/2014/183197
spellingShingle Ming Liu
Xia Zhang
L0-Linear Modulus of a Random Linear Operator
Abstract and Applied Analysis
title L0-Linear Modulus of a Random Linear Operator
title_full L0-Linear Modulus of a Random Linear Operator
title_fullStr L0-Linear Modulus of a Random Linear Operator
title_full_unstemmed L0-Linear Modulus of a Random Linear Operator
title_short L0-Linear Modulus of a Random Linear Operator
title_sort l0 linear modulus of a random linear operator
url http://dx.doi.org/10.1155/2014/183197
work_keys_str_mv AT mingliu l0linearmodulusofarandomlinearoperator
AT xiazhang l0linearmodulusofarandomlinearoperator