On projectional skeletons in Va\v{s}\'ak spaces

Autor: Kalenda, Ondřej F. K.
Rok vydání: 2016
Předmět:
Zdroj: Comment. Math. Univ. Carolinae 58 (2017), no. 2, 173-182
Druh dokumentu: Working Paper
DOI: 10.14712/1213-7243.2015.200
Popis: 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.
Comment: 9 pages. arXiv admin note: text overlap with arXiv:1511.01086
Databáze: arXiv