Skew-adjoint linear relatioins between Banach spaces
Functional Analysis
2025-10-28 v7
Abstract
In this paper, we prove the stability theorems for the isotropic perturbations of maximal isotropic subspaces in symplectic Banach spaces. Then we prove a stability theorem for the mod dimensions of kernel of skew-adjoint linear Fredholm relations between real Banach spaces with index . Finally we gives the two path components of the set of skew-adjoint linear Fredholm relations between real Banach spaces with indices .
Cite
@article{arxiv.2404.08445,
title = {Skew-adjoint linear relatioins between Banach spaces},
author = {Hanchen Li and Chaofeng Zhu},
journal= {arXiv preprint arXiv:2404.08445},
year = {2025}
}