A unitary analogue of Kato's theorem on variation of discrete spectra
type: Item
instance of: scholarly article
title: A unitary analogue of Kato's theorem on variation of discrete spectra
zbMATH Open document ID: 0658.47008
DOI: 10.1007/BF00398588
author: Rajendra Bhatia
author: Kalyan B. Sinha
published in: Letters in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: They obtain an estimate of the distance between extended enumerations of the discrete spectra of two unitary operators whose difference is compact. The estimation is given in terms of the singular values of the difference. The result is analogous to a recent result of T. Kato for selfadjoint operators and so is the proof.
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 4075870
zbMATH Keywords: compact operator
zbMATH Keywords: estimate of the distance between extended enumerations of the discrete spectra of two unitary operators whose difference is compact
zbMATH Keywords: singular values of the difference
MaRDI profile type: Publication
cites work: Variation of discrete spectra
cites work: Q4171174
cites work: Q3857325
description: scientific article; zbMATH DE number 4075870