# On a certain class of $\\K$ Banach spaces

Source: [On a certain class of $\\K$ Banach spaces](<https://www.sota2.com/research/paper/68fa50351e209131ce969810>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:53:52.114Z

Authors: K.K. Kampoukos, S.K. Mercourakis

Published: 2013-04-24T13:25:22.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1304.6577>)

[PDF](<https://arxiv.org/pdf/1304.6577.pdf>)