On diffeomorphisms deleting weakly compacta in Banach spaces

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We prove that if X is an infinite-dimensional Banach space with C^p smooth partitions of unity, then X and X\K are C^p diffeomorphic, for every weakly compact subset K of X.
18 pages

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Functional Analysis, 46B20; 57R50

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http://salesiana.dossiersoluciones.com/handle/123456789/64752

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208160
 http://arxiv.org/abs/math/0208160

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arXiv