1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Uniform approximation of continuous functions by smooth functions with no critical points on Hilbert manifolds
Daniel Azagra, Manuel Cepedello Boiso
We prove that every continuous function on a separable infinite-dimensional Hilbert space X can be uniformly approximated by smooth functions with no critical points. This kind of…
On regularization in superreflexive Banach spaces by infimal convolution formulas
Manuel Cepedello Boiso
We present here a new method for approximating functions defined on superreflexive Banach spaces by differentiable functions with -Hölder derivatives (for some ). The…
Approximation of Lipschitz functions by -convex functions in Banach spaces
Manuel Cepedello Boiso
In this paper we give some results about the approximation of a Lipschitz function on a Banach space by means of -convex functions. In particular, we prove that the density of $…