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arXiv · 1712.00565

Inversion of nonsmooth maps between Banach spaces

Jesús A. Jaramillo·Sebastián Lajara·Óscar Madiedo
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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.

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Jesús A. Jaramillo, Sebastián Lajara, Óscar Madiedo. 2017-12-02. Inversion of nonsmooth maps between Banach spaces. https://arxiv.org/abs/1712.00565

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