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20002025
most citedRolle's theorem is either false or trivial in infinite-dimensional Banach spaces

1 citations · 1 across the 10 of their papers we have counts for

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Showing 2010Show all

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math.FA2010

On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds

M. Jimenez-Sevilla, L. Sanchez-Gonzalez

Let us consider a Riemannian manifold (either separable or non-separable). We prove that, for every , every Lipschitz function can be uniformly a…

math.FA2010

Smooth extension of functions on a certain class of non-separable Banach spaces

Mar Jimenez-Sevilla, Luis Sanchez-Gonzalez

Let us consider a Banach space with the property that every real-valued Lipschitz function can be uniformly approximated by a Lipschitz, -smooth function with $\Li…