Skew-adjoint linear relatioins between Banach spaces

Fuente: arXiv
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Autores principales: Li, Hanchen, Zhu, Chaofeng
Formato: Preprint
Publicado: 2024
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author Li, Hanchen
Zhu, Chaofeng
author_facet Li, Hanchen
Zhu, Chaofeng
contents 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 $2$ dimensions of kernel of skew-adjoint linear Fredholm relations between real Banach spaces with index $0$. Finally we gives the two path components of the set of skew-adjoint linear Fredholm relations between real Banach spaces with indices $0$.
format Preprint
id arxiv_https___arxiv_org_abs_2404_08445
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Skew-adjoint linear relatioins between Banach spaces
Li, Hanchen
Zhu, Chaofeng
Functional Analysis
Primary 53D12, Secondary 58J30
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 $2$ dimensions of kernel of skew-adjoint linear Fredholm relations between real Banach spaces with index $0$. Finally we gives the two path components of the set of skew-adjoint linear Fredholm relations between real Banach spaces with indices $0$.
title Skew-adjoint linear relatioins between Banach spaces
topic Functional Analysis
Primary 53D12, Secondary 58J30
url https://arxiv.org/abs/2404.08445