The Banach-Saks Properties in Orlicz-Lorentz Spaces-Reference-Cited by-同舟云学术

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The Banach-Saks Properties in Orlicz-Lorentz Spaces

Published:2014 Issue: Volume:2014 Page:1-8
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kamińska Anna¹,Lee Han Ju²^ORCID

Affiliation:

1. Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, USA

2. Department of Mathematics Education, Dongguk University-Seoul, Seoul 100-715, Republic of Korea

Abstract

The Banach-Saks index of an Orlicz-Lorentz spaceΛφ,w(I)for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices ofφ. 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).

Funder

National Research Foundation

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/423198.pdf

Reference32 articles.

1. Köthe-Bochner Function Spaces

2. Ein Gegenbeispiel zur Theorie der schwachen Konvergenz

3. On reflexivity and summability

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Daugavet and diameter two properties in Orlicz-Lorentz spaces;Journal of Mathematical Analysis and Applications;2024-01

2. Ideal properties of the Dunford integration operator;Mathematische Nachrichten;2015-04-09

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