Decomposition of spectral flow and Bott-type iteration formula
Xijun Hu, Li Wu · Electronic Research Archive · 2020
Let $ A(t) $ be a continuous path of self-adjoint Fredholm operators, we derive a decomposition formula of spectral flow if the path is invariant under a matrix-like cogredient. As applications, we give the generalized Bott-type iteration formula for linear Hamiltonian systems.