Abstract of a paper by Jesús A. Jaramillo, Sebastián Lajara, Óscar Madiedo
This is an announcement for the paper “Inversion of nonsmooth maps between Banach spaces” by Jesús A. Jaramillo<https://arxiv.org/find/math/1/au:+Jaramillo_J/0/1/0/all/0/1>, Sebastián Lajara<https://arxiv.org/find/math/1/au:+Lajara_S/0/1/0/all/0/1>, Óscar Madiedo<https://arxiv.org/find/math/1/au:+Madiedo_O/0/1/0/all/0/1>. 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. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1712.00565
participants (1)
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Bentuo Zheng (bzheng)