Weak Compactness of Almost Limited Operators

This paper is devoted to the relationship between almost limited operators and weakly compact operators. We show that if F is a σ-Dedekind complete Banach lattice, then every almost limited operator T:E→F is weakly compact if and only if E is reflexive or the norm of F is order continuous. Also, we...

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Bibliographic Details
Main Authors: Aziz Elbour, Nabil Machrafi, Mohammed Moussa
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/263159