International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 4, Pages 721-724
doi:10.1155/S0161171279000557

Weakly compactly generated Frechet spaces

Abstract

It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.