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Weakly compactly generated Frechet spacesDOI: 10.1155/s0161171279000557 Keywords: Lindel f spaces , weakly measurable functions , strongly measurable functions , universally measurable functions , Frechet spaces , weakly compact sets. Abstract: It is proved that a weakly compact generated Frechet space is Lindel f 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.
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