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Total paracompactness and Banach spaces.


Lupianez, Francisco Gallego (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.

Tipo de documento:Artículo
Información Adicional:

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.

Palabras clave:Open basis; Locally finite covering; Banach spaces; Bounded convex sets; Normed spaces, Total paracompactness.
Materias:Ciencias > Matemáticas > Topología
Código ID:15334

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Última Modificación:30 Oct 2013 19:07

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