Weak and almost Dunford–Pettis operators on Banach lattices-Reference-Cited by-同舟云学术

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Weak and almost Dunford–Pettis operators on Banach lattices

Published:2013-01-01 Issue:1 Volume:46 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:
Short-container-title:

Author:

Aqzzouz Belmesnaoui,Bouras Khalid

Abstract

AbstractWe introduce the class of Banach lattices with the AM-compactness property and we use it to characterize Banach lattices on which each positive weak Dunford–Pettis operator is almost Dunford–Pettis and conversely.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2013-0431/pdf

Reference10 articles.

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2. Converses for the and Kalton Saab theorems;Wickstead;Math Proc Camb Phil Soc,1996

3. Some characterizations of almost operators and applications;Aqzzouz;Positivity,2011

4. Positive almost operators and their duality;Aqzzouz;Positivity,2011

5. Duality property for positive weak operators Art ID;Aqzzouz;Int J Math Math Sci,2011

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1. Some results on the class of U-Dunford-Pettis operators;Journal of Mathematical Analysis and Applications;2025-02

2. A contribution to operators between Banach lattices;Positivity;2024-09-05

3. The Gelfand–Phillips and Dunford–Pettis type properties in bimodules of measurable operators;Transactions of the American Mathematical Society;2024-06-21

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