On a certain class of $\K$ Banach spaces

K. K. Kampoukos; S. K. Mercourakis

doi:10.1016/j.topol.2013.04.001

On a certain class of $\K$ Banach spaces

Functional Analysis 2013-04-25 v1

Authors: 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.

Keywords

$\K$ Banach spaces strongly $\K$ Banach spaces $\K$ sets strongly weakly compactly generated Polish Banach spaces weakly $\mathcal{K}$-analytic

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@article{arxiv.1304.6577,
  title  = {On a certain class of $\K$ Banach spaces},
  author = {K. K. Kampoukos and S. K. Mercourakis},
  journal= {arXiv preprint arXiv:1304.6577},
  year   = {2013}
}

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Topology and its Applications (to appear, 28 pages)

On a certain class of $\K$ Banach spaces

Abstract

Keywords

Cite

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