Some properties of b-weakly compact operators on Banach lattices
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Abstract:
In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove that under some conditions the inverse is holds.
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Journal title
volume 6 issue 2
pages 187- 194
publication date 2021-01
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