ON $b$-WEAKLY COMPACT OPERATORS ON BANACH LATTICES

Birol Altin

doi:10.11650/twjm/1500404641

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Home > Journals > Taiwanese J. Math. > Volume 11 > Issue 1 > Article

2007 ON $b$-WEAKLY COMPACT OPERATORS ON BANACH LATTICES

Birol Altin

Taiwanese J. Math. 11(1): 143-150 (2007). DOI: 10.11650/twjm/1500404641

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Abstract

In this paper every $b$-weakly compact operator is shown to factor through a $KB$-space. Also we give some necessary and sufficient conditions for a continuous operator $T : E \to X$ from a Banach lattice into a Banach space to be a $b$-weakly compact. Moreover, we investigated the order structure of $b$-weakly compact operator.

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Birol Altin. "ON $b$-WEAKLY COMPACT OPERATORS ON BANACH LATTICES." Taiwanese J. Math. 11 (1) 143 - 150, 2007. https://doi.org/10.11650/twjm/1500404641