Inversion of nonsmooth maps between Banach spaces
Functional Analysis
2018-05-16 v2
Abstract
We study the invertibility nonsmooth maps between infinite-dimensional Banach spaces. To this end, we introduce an analogue of the notion of pseudo-Jacobian matrix of Jeyakumar and Luc in this infinite-dimensional setting. Using this, we obtain several inversion results. In particular, we give a version of the classical Hadamard integral condition for global invertibility in this context.
Keywords
Cite
@article{arxiv.1712.00565,
title = {Inversion of nonsmooth maps between Banach spaces},
author = {Jesús A. Jaramillo and Sebastián Lajara and Óscar Madiedo},
journal= {arXiv preprint arXiv:1712.00565},
year = {2018}
}
Comments
25 pages