International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1979 / Article

Open Access

Volume 2 |Article ID 514268 | https://doi.org/10.1155/S0161171279000557

Surjit Singh Khurana, "Weakly compactly generated Frechet spaces", International Journal of Mathematics and Mathematical Sciences, vol. 2, Article ID 514268, 4 pages, 1979. https://doi.org/10.1155/S0161171279000557

Weakly compactly generated Frechet spaces

Received12 Mar 1979
Revised13 Jul 1979

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.

Copyright © 1979 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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