arXiv subjects

Sebastián Lajara

Publications and source records attributed to Sebastián Lajara.

2 recordsLinked to original sources

arXiv2018

Inversion of nonsmooth maps between Banach spaces

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.

math.FA↗

arXiv2015

Weakly compactly generated Banach lattices

We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice $X$, the existence of a weakly compact set $K \subset X$ such that $X$ coincides with the band generated by $K$, implies that $X$ is WCG.

math.FA↗