Multiplicity characteristics of the continuum spectrum of a class of dissipative operators
type: Item
instance of: scholarly article
zbMATH Open document ID: 0983.47022
author: Yu. P. Moskaleva
publication date: 2001-12-12T00:00:00Z
Mathematics Subject Classification ID: 47B44
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 47B15
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 1681776
zbMATH Keywords: dissipative operator
zbMATH Keywords: dissipative quasi-Hermitian operators
zbMATH Keywords: multiplicity of the continuous spectrum
zbMATH Keywords: limiting values
zbMATH Keywords: characteristic matrix-function
zbMATH Keywords: nonnegative components of the polar expansion
MaRDI profile type: Publication
title: Multiplicity characteristics of the continuum spectrum of a class of dissipative operators
published in: Dinamicheskie Sistemy (Simferopol')
review text: For a class of dissipative quasi-Hermitian operators the concept of multiplicity of the continuous spectrum is introduced. A formula is presented for the characteristic matrix-function in terms of nonnegative components of the polar expansion of the difference of limiting values of this matrix-function.
description: scientific article; zbMATH DE number 1681776