On weak compactness of bounded sets in Banach and locally convex spaces |
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| Authors: | P. I. Kogut V. S. Mel'nik |
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| Affiliation: | (1) Dnepropetrovsk University, Dnepropetrovsk;(2) Institute of Applied Systems of Analysis, Ukrainian Academy of Sciences, Ukrainian Ministry of Education, Kiev |
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| Abstract: | We investigate the compactness of one class of bounded subsets in Banach and locally convex spaces. We obtain a generalization of the Banach-Alaoglu theorem to a class of subsets that are not polars of convex balanced neighborhoods of zero. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp 731–739, June. 2000. |
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