Functional model of a closed non-selfadjoint operator
type: Item
instance of: scholarly article
title: Functional model of a closed non-selfadjoint operator
zbMATH Open document ID: 1155.47016
author: Vladimir Ryzhov
published in: Integral Equations and Operator Theory
publication date: 2008-06-30T00:00:00Z
review text: In this paper, authors construct the symmetric functional model of an arbitrary closed operator with nonempty resolvent set acting on a separable Hilbert space. The construction is based on the explicit form of the Sz.-Nagy--Foiaş model of a closed dissipative operator, the Potapov--Ginzburg transform of characteristic functions, and certain resolvent identities. All considerations are carried out under minimal assumptions, and the obtained results are directly applicable to problems typically arising in mathematical physics. Also, explicit formulae for all the objects involved in the model construction are provided.
reviewed by: Bilender P. Allahverdiev
Mathematics Subject Classification ID: 47A45
Mathematics Subject Classification ID: 47A20
Mathematics Subject Classification ID: 47A48
Mathematics Subject Classification ID: 47B44
zbMATH DE Number: 5294661
zbMATH Keywords: functional models
zbMATH Keywords: non-selfadjoint operators
zbMATH Keywords: non-dissipative operators
zbMATH Keywords: Potapov-Ginzburg transform
MaRDI profile type: Publication
full work available at URL: s00020-008-1574-9
OpenAlex ID: W2092884122
DOI: 10.1007/S00020-008-1574-9
description: scientific article; zbMATH DE number 5294661