Some properties of the class of b-weakly compact operators (Q371738)
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scientific article; zbMATH DE number 6214897
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of the class of b-weakly compact operators |
scientific article; zbMATH DE number 6214897 |
Statements
Some properties of the class of b-weakly compact operators (English)
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10 October 2013
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Given a Banach lattice \(E\) and a Banach space \(X\), an operator \(T:E\rightarrow X\) is called b-weakly compact if, for every set \(A\subset E\) which is order bounded in the topological bidual \(E''\), \(T(A)\) is a relatively weakly compact subset in \(X\). In this paper, several characterizations of b-weakly compact operators are provided.
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b-weakly compact operator
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order weakly compact operator
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KB-space
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