Geodesic
Binormality of Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 279-282 Cet article a éte moissonné depuis la source 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.
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.
Classification : 46B20, 46B28, 54E55
Keywords: binormality; Luzin-Menchoff property; Banach space; weak topology 
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     author = {Holick\'y, Petr},
     title = {Binormality of {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Holický, Petr. Binormality of Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 279-282. http://geodesic.mathdoc.fr/item/CMUC_1997_38_2_a8/