| Title:
|
Binormality of Banach spaces (English) |
| Author:
|
Holický, Petr |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
279-282 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study binormality, a separation property of spaces endowed with two topologies known in the real analysis as the Luzin-Menchoff property. The main object of our interest are Banach spaces with their norm and weak topologies. We show that every separable Banach space is binormal and the space $\ell^{\infty}$ is not binormal. (English) |
| Keyword:
|
binormality |
| Keyword:
|
Luzin-Menchoff property |
| Keyword:
|
Banach space |
| Keyword:
|
weak topology |
| MSC:
|
46B20 |
| MSC:
|
46B28 |
| MSC:
|
54E55 |
| idZBL:
|
Zbl 0886.46012 |
| idMR:
|
MR1455495 |
| . |
| Date available:
|
2009-01-08T18:30:51Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118926 |
| . |
| Reference:
|
[JNR] Jayne J.E., Namioka I., Rogers C.A.: Fragmentability and $\sigma$-fragmentability.Fund. Math. (1993), 143 207-220. Zbl 0801.46011, MR 1247801 |
| Reference:
|
[K] Kelly J.C.: Bitopological spaces.Proc. London Math. Soc. 13 (1963), 71-89. Zbl 0107.16401, MR 0143169 |
| Reference:
|
[LMZ] Lukeš J., Malý J., Zajíček L.: Fine Topology Methods in Real Analysis and Potential Theory.Lecture Notes in Mathematics 1189 (1986), Springer-Verlag Berlin, Heidelberg, New York, London, Paris, Tokyo. MR 0861411 |
| . |
