Weakly compactly generated Frechet spaces

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.

Detalles Bibliográficos
Autor Principal: Surjit Singh Khurana
Formato: Artigo
Idioma:English
Publicado: Wiley 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Acceso en liña:http://dx.doi.org/10.1155/S0161171279000557