Weakly compactly generated Frechet spaces

Surjit Singh Khurana

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-4

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.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:514268

DOI: 10.1155/S0161171279000557

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