Ondřej F. K. Kalenda
On projectional skeletons in Va\v s\'ak spaces

Comment.Math.Univ.Carolin. 58,2 (2017) 173-182.

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.

Keywords: Va\v s\'ak Banach space; projectional skeleton; elementary submodel

DOI: DOI 10.14712/1213-7243.2015.200
AMS Subject Classification: 46B26 03C30