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Gómez Gil, Javier (1984) On local convexity of bounded weak topologies on banach-spaces. Pacific Journal of Mathematics, 110 (1). pp. 71-76. ISSN 0030-8730
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Official URL: http://projecteuclid.org/euclid.pjm/1102711098
Abstract
This paper is devoted to the question "Under what conditions on a Banach space E is it true that the bounded weak topology is locally convex?". The theorem of Banach and Dieudonné shows that reflexivity is a sufficient condition. The author proves that reflexivity is also a necessary condition
Item Type: | Article |
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Uncontrolled Keywords: | Duality and reflexivity in normed spaces |
Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
ID Code: | 15819 |
Deposited On: | 03 Jul 2012 11:03 |
Last Modified: | 25 Jun 2018 07:54 |
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