4 citations · 7 across the 4 of their papers we have counts for
Showing math.FAShow all
2 papers · 1 filter
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.FA2000
Rolle's theorem is either false or trivial in infinite-dimensional Banach spaces
Daniel Azagra, Mar Jimenez-Sevilla
We prove the following new characterization of (Lipschitz) smoothness in Banach spaces. An infinite-dimensional Banach space has a smooth (Lipschitz) bump function…