Eigenvalues in gaps of selfadjoint operators in Pontryagin spaces

Mathematics – Spectral Theory

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Scientific paper

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.

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