Petr Holick\'y
Binormality of Banach spaces

Comment.Math.Univ.Carolinae 38,2 (1997) 279-282.

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.

Keywords: binormality, Luzin-Menchoff property, Banach space, weak topology
AMS Subject Classification: Primary 46B20; Secondary 46B28, 54E55