| Title:
|
A note on a theorem of Klee (English) |
| Author:
|
Kąkol, Jerzy |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
79-80 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
$F$-spaces |
| Keyword:
|
quasi-Banach spaces |
| MSC:
|
46A04 |
| MSC:
|
46A06 |
| MSC:
|
46A10 |
| MSC:
|
46A16 |
| MSC:
|
46B10 |
| idZBL:
|
Zbl 0799.46007 |
| idMR:
|
MR1240205 |
| . |
| Date available:
|
2009-01-08T18:01:13Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118557 |
| . |
| Reference:
|
[1] Day M.M.: The spaces $L^p$ with $0<p<1$.Bull. Amer. Math. Soc. 46 (1940), 816-823. MR 0002700 |
| Reference:
|
[2] Klee V.L.: Exotic Topologies for Linear Spaces.Proc. Symposium on General Topology and its Relations to Modern Algebra, Prague, 1961. Zbl 0111.10701, MR 0154088 |
| Reference:
|
[3] Labuda I., Lipecki Z.: On subseries convergent series and $m$- quasi bases in topological linear spaces.Manuscripta Math. 38 (1982), 87-98. Zbl 0496.46006, MR 0662771 |
| Reference:
|
[4] Lipecki Z.: On some dense subspaces in topological linear spaces.Studia Math. 77 (1984), 413-421. MR 0751762 |
| Reference:
|
[5] Rolewicz S.: Metric Linear Spaces.Monografie Mat. 56, PWN, Warszawa, 1972. Zbl 0573.46001, MR 0438074 |
| . |
