On projectional skeletons in Vašák spaces

Ondřej F. K. Kalenda

Commentationes Mathematicae Universitatis Carolinae (2017)

  • Volume: 58, Issue: 2, page 173-182
  • ISSN: 0010-2628

Abstract

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We provide an alternative proof of the theorem saying that any Vašák (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. Kubiś (2009) in case of weakly compactly generated spaces.

How to cite

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Kalenda, Ondřej F. K.. "On projectional skeletons in Vašák spaces." Commentationes Mathematicae Universitatis Carolinae 58.2 (2017): 173-182. <http://eudml.org/doc/288186>.

@article{Kalenda2017,
abstract = {We provide an alternative proof of the theorem saying that any Vašák (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. Kubiś (2009) in case of weakly compactly generated spaces.},
author = {Kalenda, Ondřej F. K.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Vašák Banach space; projectional skeleton; elementary submodel},
language = {eng},
number = {2},
pages = {173-182},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On projectional skeletons in Vašák spaces},
url = {http://eudml.org/doc/288186},
volume = {58},
year = {2017},
}

TY - JOUR
AU - Kalenda, Ondřej F. K.
TI - On projectional skeletons in Vašák spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2017
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 58
IS - 2
SP - 173
EP - 182
AB - We provide an alternative proof of the theorem saying that any Vašák (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. Kubiś (2009) in case of weakly compactly generated spaces.
LA - eng
KW - Vašák Banach space; projectional skeleton; elementary submodel
UR - http://eudml.org/doc/288186
ER -

References

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