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march 2012 Weak compactness of AM-compact operators
Belmesnaoui Aqzzouz, Jawad H'Michane, Othman Aboutafail
Bull. Belg. Math. Soc. Simon Stevin 19(2): 329-338 (march 2012). DOI: 10.36045/bbms/1337864276

Abstract

We characterize Banach lattices under which each AM-compact operator (resp. the second power of a positive AM-compact operator) is weakly compact. Also, we give some interesting results about b-weakly compact operators and operators of strong type B.

Citation

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Belmesnaoui Aqzzouz. Jawad H'Michane. Othman Aboutafail. "Weak compactness of AM-compact operators." Bull. Belg. Math. Soc. Simon Stevin 19 (2) 329 - 338, march 2012. https://doi.org/10.36045/bbms/1337864276

Information

Published: march 2012
First available in Project Euclid: 24 May 2012

zbMATH: 1253.46027
MathSciNet: MR2977235
Digital Object Identifier: 10.36045/bbms/1337864276

Subjects:
Primary: 46A40 , ‎46B40 , 46B42

Keywords: AM-compact operator , Banach lattice , b-weakly compact operator , KB-space , operator of strong type B , order continuous norm , Reflexive space , weakly compact operator

Rights: Copyright © 2012 The Belgian Mathematical Society

Vol.19 • No. 2 • march 2012
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