Semi-compactness of positive Dunford–Pettis operators on Banach lattices-Reference-Cited by-同舟云学术

Semi-compactness of positive Dunford–Pettis operators on Banach lattices

Published:2008-02-19 Issue:6 Volume:136 Page:1997-2006
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aqzzouz Belmesnaoui,Nouira Redouane,Zraoula Larbi

Abstract

We investigate Banach lattices on which each positive Dunford–Pettis operator is semi-compact and the converse. As an interesting consequence, we obtain Theorem 2.7 of Aliprantis–Burkinshaw and an element of Theorem 1 of Wickstead.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2008-136-06/S0002-9939-08-09032-1/S0002-9939-08-09032-1.pdf

Reference10 articles.

1. Dunford-Pettis operators on Banach lattices;Aliprantis, C. D.;Trans. Amer. Math. Soc.,1982

2. Mathematical Surveys and Monographs;Aliprantis, Charalambos D.,2003

3. Positive Operators

4. Compacité des opérateurs de Dunford-Pettis positifs sur les treillis de Banach;Aqzzouz, Belmesnaoui;C. R. Math. Acad. Sci. Paris,2005

5. About positive Dunford-Pettis operators on Banach lattices;Aqzzouz, Belmesnaoui;J. Math. Anal. Appl.,2006

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