Luis Sánchez-González

collaborators

3 papers

math.FA2014

Low distortion embeddings between $C (K)$ spaces

Antonín Procházka, Luis Sánchez-González

We show that, for each ordinal $α < ω_{1}$ , the space $C ([0, ω^{α}])$ does not embed into $C (K)$ with distortion strictly less than $2$ unless $K^{(α)} \neq = \emptyset$ .

math.FA2014

A class of Hamilton-Jacobi equations on Banach-Finsler manifolds

J. A. Jaramillo, M. Jimenez-Sevilla, J. L. Rodenas-Pedregosa +1

The concept of subdifferentiability is studied in the context of $C^{1}$ Finsler manifolds (modeled on a Banach space with a Lipschitz $C^{1}$ bump function). A class of Hamilton-Jacob…

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 $X$ with the property that every real-valued Lipschitz function $f$ can be uniformly approximated by a Lipschitz, $C^{1}$ -smooth function $g$ with $\Li…

Low distortion embeddings between C(K) spaces

A class of Hamilton-Jacobi equations on Banach-Finsler manifolds

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

Low distortion embeddings between $C (K)$ spaces