Weak compactness of AM-compact operators
Belmesnaoui Aqzzouz, Jawad H'Michane, and Othman Aboutafail
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 19, Number 2
(2012), 329-338.
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.
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Keywords: weakly compact operator; AM-compact operator; b-weakly compact operator; operator of strong type B; Banach lattice; order continuous norm; KB-space; reflexive space
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Bulletin of the Belgian Mathematical Society - Simon Stevin
