On a class of perturbed operators
type: Item
instance of: scholarly article
title: On a class of perturbed operators
zbMATH Open document ID: 0991.47004
published in: Russian Mathematics
publication date: 2001-03-07T00:00:00Z
review text: Let \(A(\varepsilon)=B_0 -\varepsilon B\), where \(B_0\) and \(B\) are given linear operators in Hilbert space. The author establishes some sufficient conditions for eigenvalues and corresponding eigenvectors of \(A(\varepsilon)\) to be analytic functions of \(\varepsilon\) at \(\varepsilon =0\), and applies the result to a certain (nonselfadjoint) functional-differential operator.
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 47G20
Mathematics Subject Classification ID: 47A56
zbMATH DE Number: 1541502
zbMATH Keywords: perturbation of eigenvalues and eigenvectors
zbMATH Keywords: analytic eigenvalues
zbMATH Keywords: functional-differential operator
author: A. M. Sidorov
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1541502