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math.FA2002★ 1 cited
On diffeomorphisms deleting weakly compacta in Banach spaces
Daniel Azagra, Alejandro Montesinos
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.
math.DG2002
Uniform approximation of continuous mappings by smooth mappings with no critical points on Hilbert manifolds
Daniel Azagra, Manuel Cepedello Boiso
We prove that every continuous mapping from a separable infinite-dimensional Hilbert space into can be uniformly approximated by smooth mappings {\e…