2024/04/12 by Hanchen Li, Li, Hanchen, Chaofeng Zhu +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Nonlinear Differential Equations Analysis #Primary 53D12 #Secondary 58J30
paper · pdf · doi:10.48550/arxiv.2404.08445
openalex publication_date 2024/04/12 · openalex created_date 2024/04/17 · openalex updated_date 2026/08/01
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.