On Riesz spaces with b-property and b-weakly compact operators
Автор: Alpay Safak, Altin Birol
Журнал: Владикавказский математический журнал @vmj-ru
Статья в выпуске: 2 т.11, 2009 года.
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An operator Т: E→ X between a Banach lattice E and a Banach space X is called b-weakly compact if T(B) is relatively weakly compact for each b-bounded set B in E. We characterize b-weakly compact operators among o-weakly compact operators. We show summing operators are b-weakly compact and discuss relation between Dunford--Pettis and b-weakly compact operators. We give necessary conditions for b-weakly compact operators to be compact and give characterizations of KB-spaces in terms of b-weakly compact operators defined on them.
B-ограниченные множества, b-слабо компактные операторы, b-bounded sets, b-weakly compact operator, kb-spaces
Короткий адрес: https://sciup.org/14318268
IDR: 14318268
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