On projectional skeletons in Vašák spaces

Autor:	Ondřej F. K. Kalenda
Rok vydání:	2017
Předmět:	Mathematics - Functional Analysis Pure mathematics Simple (abstract algebra) 46B26 03C30 General Mathematics Banach space Skeleton (category theory) Mathematics
Zdroj:	Commentationes Mathematicae Universitatis Carolinae. 58:173-182
ISSN:	1213-7243 0010-2628
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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f83e28d3dc13e45d7f08d00e5e5624a https://doi.org/10.14712/1213-7243.2015.200 Zobrazit plný text záznamu