Lupianez, Francisco (1988) Total paracompactness and Banach spaces. Proceedings of the American Mathematical Society, 103 (1). pp. 210-214. ISSN 0002-9939
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In this paper, we study some problems related to the Corson theorem. In particular we prove that co does not fulfil such a theorem; hence this theorem is not valid for all infinite-dimensional Banach spaces. We give also generalizations of Corson's theorem for some infinite-dimensional normed spaces.
|Additional Information:||The results of this paper are contained in the author's Doctoral Thesis, directed by Professor E. Outerelo, to whom the author expresses his hearty thanks for his help in the preparation of this paper.|
|Uncontrolled Keywords:||Open basis; Locally finite covering; Banach spaces; Bounded convex sets; Normed spaces, Total paracompactness.|
|Subjects:||Sciences > Mathematics > Topology|
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|Deposited On:||24 May 2012 11:52|
|Last Modified:||24 May 2012 11:52|
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