This is an announcement for the paper "On a certain class of $\K$ Banach spaces" by K.K. Kampoukos and S.K. Mercourakis.

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.

Archive classification: math.FA

Mathematics Subject Classification: Primary 46B20, 54H05, 03E15, Secondary 46B26

Remarks: Topology and its Applications (to appear, 28 pages)

Submitted from: smercour@math.uoa.gr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1304.6577

or

http://arXiv.org/abs/1304.6577