ArticleOriginal scientific text

Title

Perturbation of the spectrum οf an essentially selfadjoint operator

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

The aim of this paper is to find estimates of the Hausdorff distance between the spectra of two nonselfadjoint operators. The operators considered are assumed to have their imaginary parts in some normed ideal of compact operators. In the case of the classical Schatten ideals the estimates are given explicitly.

Keywords

crossnorm, spectrum

Bibliography

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Pages:
75-89
Main language of publication
English
Received
1992-11-18
Accepted
1993-06-24
Published
1993
Exact and natural sciences