Eigenvalues in gaps of selfadjoint operators in Pontryagin spaces
Spectral Theory
2011-11-15 v1
Abstract
Given an open real interval \Delta\ and two selfadjoint operators A_1, A_2 in a \Pi_\kappa-space with n-dimensional resolvent difference we show that the difference of the total multiplicities of the eigenvalues of A_1 and A_2 in \Delta\ is at most n+2\kappa.
Keywords
Cite
@article{arxiv.1111.3011,
title = {Eigenvalues in gaps of selfadjoint operators in Pontryagin spaces},
author = {Friedrich Philipp},
journal= {arXiv preprint arXiv:1111.3011},
year = {2011}
}