A note on a theorem of Klee
Commentationes Mathematicae Universitatis Carolinae (1993)
- Volume: 34, Issue: 1, page 79-80
- ISSN: 0010-2628
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topKąkol, Jerzy. "A note on a theorem of Klee." Commentationes Mathematicae Universitatis Carolinae 34.1 (1993): 79-80. <http://eudml.org/doc/247503>.
@article{Kąkol1993,
abstract = {It is proved that if $E,F$ are separable quasi-Banach spaces, then $E\times F$ contains a dense dual-separating subspace if either $E$ or $F$ has this property.},
author = {Kąkol, Jerzy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$F$-spaces; quasi-Banach spaces; -spaces; separable quasi-Banach spaces; dense dual-separating subspace},
language = {eng},
number = {1},
pages = {79-80},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on a theorem of Klee},
url = {http://eudml.org/doc/247503},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Kąkol, Jerzy
TI - A note on a theorem of Klee
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 1
SP - 79
EP - 80
AB - It is proved that if $E,F$ are separable quasi-Banach spaces, then $E\times F$ contains a dense dual-separating subspace if either $E$ or $F$ has this property.
LA - eng
KW - $F$-spaces; quasi-Banach spaces; -spaces; separable quasi-Banach spaces; dense dual-separating subspace
UR - http://eudml.org/doc/247503
ER -
References
top- Day M.M., The spaces with , Bull. Amer. Math. Soc. 46 (1940), 816-823. (1940) MR0002700
- Klee V.L., Exotic Topologies for Linear Spaces, Proc. Symposium on General Topology and its Relations to Modern Algebra, Prague, 1961. Zbl0111.10701MR0154088
- Labuda I., Lipecki Z., On subseries convergent series and - quasi bases in topological linear spaces, Manuscripta Math. 38 (1982), 87-98. (1982) Zbl0496.46006MR0662771
- Lipecki Z., On some dense subspaces in topological linear spaces, Studia Math. 77 (1984), 413-421. (1984) MR0751762
- Rolewicz S., Metric Linear Spaces, Monografie Mat. 56, PWN, Warszawa, 1972. Zbl0573.46001MR0438074
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