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On projectional skeletons in Vašák spaces (1602.02558v1)

Published 8 Feb 2016 in math.FA

Abstract: We provide an alternative proof of the theorem saying that any Va\v{s}\'ak (or, weakly countably determined) Banach space admits a full $1$-projectional skeleton. The proof is done with the use of the method of elementary submodels and is comparably simple as the proof given by W.~Kubi\'s (2009) in case of weakly compactly generated spaces.

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