What is it about?
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.
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Why is it important?
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.
Perspectives
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.
Francisco Gallego Lupianez
University Complutense
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This page is a summary of: Total paracompactness and Banach spaces, Proceedings of the American Mathematical Society, January 1988, American Mathematical Society (AMS),
DOI: 10.1090/s0002-9939-1988-0938670-6.
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