An inequality for similarity condition numbers of unbounded operators with Schatten - von Neumann Hermitian components

DOI10.2298/FIL1613415GzbMath1465.47015OpenAlexW2177421405MaRDI QIDQ5279617

Michael I. Gil'

Publication date: 19 July 2017

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1613415g

zbMATH Keywords

similarityunbounded operatorsoperator functionspectrum perturbationscondition numbers

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Operators on Hilbert spaces (general) (47B02)

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SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS ⋮ Perturbation bounds for angular sectors of spectra of unbounded operators

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