Variation of discrete spectra for non-selfadjoint perturbations of selfadjoint operators

Details Variation of discrete spectra for non-selfadjoint perturbations of selfadjoint operators Variation of discrete spectra for non-selfadjoint perturbations of selfadjoint operators

2012-02-06

arxiv.org/abs/1202.1118v1

Mathematics

Spectral Theory

Scientific paper

Let B=A+K where A is a bounded selfadjoint operator and K is an element of
the von Neumann-Schatten ideal S_p with p>1. Let {\lambda_n} denote an
enumeration of the discrete spectrum of B. We show that $\sum_n
\dist(\lambda_n, \sigma(A))^p$ is bounded from above by a constant multiple of
|K|_p^p.

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