activity
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

collaborators

11 papers

math.FA2025

Operators with the Kato property on Banach spaces

Mar Jiménez Sevilla, Sebastián Lajara López, Miguel Ángel Ruiz Risueño

We consider a class of bounded linear operators between Banach spaces, which we call operators with the Kato property, that includes the family of strictly singular operators betwe…

math.FA2024

Corrigendum to "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219]

Mar Jimenez-Sevilla

The present note is a corrigendum to the paper "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219].

math.FA2020

Normal and starlike tilings in separable Banach spaces

Robert Deville, Mar Jimenez-Sevilla

In this note, we provide a starlike and normal tiling in any separable Banach space. That means, there are positive constants r and R (not depending on the separable Banach space)…

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 Finsler manifolds (modeled on a Banach space with a Lipschitz bump function). A class of Hamilton-Jacob…

math.FA2011

On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces

M. Jimenez-Sevilla, L. Sanchez-Gonzalez

Let and be Banach spaces, a closed subset of and a mapping . We give necessary and sufficient conditions to obtain a smooth mapping suc…

math.FA2011

Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions

J. A. Jaramillo, M. Jimenez-Sevilla, L. Sanchez-Gonzalez

In this note we give sufficient conditions to ensure that the weak Finsler structure of a complete Finsler manifold is determined by the normed algebra of all…