Some properties of b-weakly compact operators on Banach lattices

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چکیده مقاله:

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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عنوان ژورنال

دوره 6  شماره 2

صفحات  187- 194

تاریخ انتشار 2021-01

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