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arXiv · 1304.6577

On a certain class of $\K$ Banach spaces

K. K. Kampoukos·S. K. Mercourakis
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Abstract

Using a strengthening of the concept of $\K$ set, introduced in this paper, we study a certain subclass of the class of $\K$ Banach spaces; the so called strongly $\K$ Banach spaces. This class of spaces includes subspaces of strongly weakly compactly generated (SWCG) as well as Polish Banach spaces and it is related to strongly weakly $\mathcal{K}$--analytic (SWKA) Banach spaces as the known classes of $\K$ and weakly $\mathcal{K}$--analytic (WKA) Banach spaces are related.

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BibTeXRIS

K. K. Kampoukos, S. K. Mercourakis. 2013-04-24. On a certain class of $\K$ Banach spaces. https://doi.org/10.1016/j.topol.2013.04.001

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