Stabilities in Banach spaces with skew-adjoint Fredholm operators
- Resource Type
- Working Paper
- Authors
- Li, Hanchen; Zhu, Chaofeng
- Source
- Subject
- Mathematics - Functional Analysis
Primary 53D12, Secondary 58J30
- Language
In this paper, we prove the stability theorems for the isotropic perturbations of Lagrangian subspaces and maximal isotropic subspaces in strong symplectic Banach spaces. Then we prove a stability theorem for the mod $2$ dimensions of kernel of skew-adjoint Fredholm linear relations between real Banach spaces with index $0$. Finally we gives the path components of the set of skew-adjoint Fredholm linear relations between real Banach spaces with indices $0$.