Binormality of Banach spaces
Holický, Petr
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997), p. 279-282 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1997-01-01
Classification:  46B20,  46B28,  54E55 
@article{118926,
     author = {Petr Holick\'y},
     title = {Binormality of Banach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {38},
     year = {1997},
     pages = {279-282},
     zbl = {0886.46012},
     mrnumber = {1455495},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118926}
}

Holický, Petr. Binormality of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) pp. 279-282. http://gdmltest.u-ga.fr/item/118926/

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