Search results for: MASLOV INDEX - Bridge of Knowledge

Search

Search results for: MASLOV INDEX

Filters

total: 2

clear all filters


Chosen catalog filters

  • Category

  • Year

  • Options

clear Chosen catalog filters disabled

Search results for: MASLOV INDEX

  • The Maslov index and the spectral flow—revisited

    Publication

    We give an elementary proof of a celebrated theorem of Cappell, Lee and Miller which relates the Maslov index of a pair of paths of Lagrangian subspaces to the spectral flow of an associated path of self-adjoint first-order operators. We particularly pay attention to the continuity of the latter path of operators, where we consider the gap-metric on the set of all closed operators on a Hilbert space. Finally, we obtain from Cappell,...

    Full text available to download

  • On a comparison principle and the uniqueness of spectral flow

    Publication

    - MATHEMATISCHE NACHRICHTEN - Year 2022

    The spectral flow is a well-known quantity in spectral theory that measures the variation of spectra about 0 along paths of selfadjoint Fredholm operators. The aim of this work is twofold. Firstly, we consider homotopy invariance properties of the spectral flow and establish a simple formula which comprises its classical homotopy invariance and yields a comparison theorem for the spectral flow under compact perturbations. We apply...

    Full text available to download