Hankel operators in the perturbation theory of unitary and self-adjoint operators
type: Item
instance of: scholarly article
title: Hankel operators in the perturbation theory of unitary and self-adjoint operators
zbMATH Open document ID: 0587.47016
DOI: 10.1007/BF01078390
publication date: 1985-01-01T00:00:00Z
review text: The author introduces a new technique in the following questions of the perturbation theory of unitary and self-adjoint operators: the representation of \(\phi\) (B)-\(\phi\) (A) in the term of operator integrals, the representation of the trace of \(\phi\) (B)-\(\phi\) (A) in the term of so-called spectral shift function, the differentiability of the mapping \(A\mapsto \phi (A).\) This technique is based on the metric properties of some Hankel operators.
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 3942266
zbMATH Keywords: perturbation theory of unitary and self-adjoint operators
zbMATH Keywords: operator integrals
zbMATH Keywords: representation of the trace
zbMATH Keywords: spectral shift function
zbMATH Keywords: metric properties of some Hankel operators
author: Vladimir V. Peller
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01078390
OpenAlex ID: W2033086316
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3942266