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Espaces К-analytiques et espaces de Baire de fonctions continues

Part of: Linear function spaces and their duals

Published online by Cambridge University Press:  26 February 2010

Gabriel Debs
Gabriel Debs
Affiliation:
Équipe D'Analyse, Université Paris VI, 4, Place Jussieu, 75230 Paris Cedex 05, France.
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Extract

Le point de départ de ce travail est le résultat suivant.

THÉORÈME (I. Namioka). Soient X et Y deux espaces compacts et

Si f est continue quand on munit(Y) de la topologie de convergence simple alors X contient un Gδ dense en tout point duquel f reste continue quand on munit(Y) de la topologie de la convergence uniform.

MSC classification

Secondary: 46E15: Banach spaces of continuous, differentiable or analytic functions
Type
Research Article
Information
Mathematika , Volume 32 , Issue 2 , December 1985 , pp. 218 - 228
Copyright
Copyright © University College London 1985

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References

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