Geodesic
Binormality of Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 2, pp. 279-282.

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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.
Classification : 46B20, 46B28, 54E55
Keywords: binormality; Luzin-Menchoff property; Banach space; weak topology 
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     title = {Binormality of {Banach} spaces},
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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/