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...
Main Authors: | Aziz Elbour, Nabil Machrafi, Mohammed Moussa |
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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 |
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