The Banach-Saks properties in Orlicz-Lorentz spaces

Anna Kamińska; Han Ju Lee

doi:10.1155/2014/423198

The Banach-Saks properties in Orlicz-Lorentz spaces

Anna Kamińska
, Han Ju Lee

Department of Mathematics Education

University of Memphis

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The Banach-Saks index of an Orlicz-Lorentz space Λ_φ,w (I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).

Original language	English
Article number	423198
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/423198
State	Published - 2014

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abstract = "The Banach-Saks index of an Orlicz-Lorentz space Λφ,w (I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).",

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AB - The Banach-Saks index of an Orlicz-Lorentz space Λφ,w (I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks) property if and only if it is separable (resp., reflexive).

UR - https://www.scopus.com/pages/publications/84897489437

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DO - 10.1155/2014/423198

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SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 423198

ER -

The Banach-Saks properties in Orlicz-Lorentz spaces

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