التفاصيل البيبلوغرافية
العنوان: |
Almost order-weakly compact operators on Banach lattices. |
المؤلفون: |
Pazira, Mohammad, Matin, Mina, Azar, Kazem Haghnejad, Ebadi, Ali |
المصدر: |
International Journal of Nonlinear Analysis & Applications; Jan2024, Vol. 15 Issue 1, p353-360, 8p |
مصطلحات موضوعية: |
BANACH lattices, SUBSET selection, MATHEMATICAL formulas, MATHEMATICAL models, MATHEMATICAL analysis |
مستخلص: |
A continuous operator T between two Banach lattices E and F is called almost order-weakly compact, whenever for each almost order bounded subset A of E, T(A) is a relatively weakly compact subset of F. We show that the positive operator T from E into a Dedekind complete Banach lattice F is almost order-weakly compact iff T(xn)... 0 in F for each disjoint almost order bounded sequence {xn} in E. In this manuscript, we study some properties of this class of operators and its relationships with the others known classes of operators. [ABSTRACT FROM AUTHOR] |
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قاعدة البيانات: |
Complementary Index |