Binormality of Banach spaces
Commentationes Mathematicae Universitatis Carolinae (1997)
- Volume: 38, Issue: 2, page 279-282
- ISSN: 0010-2628
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topHolický, Petr. "Binormality of Banach spaces." Commentationes Mathematicae Universitatis Carolinae 38.2 (1997): 279-282. <http://eudml.org/doc/248079>.
@article{Holický1997,
abstract = {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.},
author = {Holický, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {binormality; Luzin-Menchoff property; Banach space; weak topology; binormality; Luzin-Menchoff property; Banach space; weak topology},
language = {eng},
number = {2},
pages = {279-282},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Binormality of Banach spaces},
url = {http://eudml.org/doc/248079},
volume = {38},
year = {1997},
}
TY - JOUR
AU - Holický, Petr
TI - Binormality of Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1997
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 38
IS - 2
SP - 279
EP - 282
AB - 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.
LA - eng
KW - binormality; Luzin-Menchoff property; Banach space; weak topology; binormality; Luzin-Menchoff property; Banach space; weak topology
UR - http://eudml.org/doc/248079
ER -
References
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- Kelly J.C., Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71-89. (1963) Zbl0107.16401MR0143169
- 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. (1986) MR0861411
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