Invertibility of nonnegatively Hamiltonian operators in a Hilbert space
type: Item
instance of: scholarly article
title: Invertibility of nonnegatively Hamiltonian operators in a Hilbert space
zbMATH Open document ID: 1032.47013
DOI: 10.1023/A:1019259107760
published in: Differential Equations
publication date: 2003-08-26T00:00:00Z
review text: Let \(S,W\) be bounded selfadjoint nonnegative operators in a Hilbert space \(H\) and \(A\) be a closed densely defined operator in \(H\). Under the assumption that the operators \(S\) and \(W\) have bounded inverses or the operator \(A\) has a bounded inverse, bounded invertibility of the operator \[ \begin{pmatrix} A & S\cr W & -A^*\end{pmatrix} \] is proved.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 34L05
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 47N50
zbMATH DE Number: 1758762
zbMATH Keywords: selfadjoint nonnegative operators
zbMATH Keywords: Hilbert space
zbMATH Keywords: bounded invertibility
author: G. A. Kurina
MaRDI profile type: Publication
full work available at URL: a:1019259107760
OpenAlex ID: W10250528
description: scientific article; zbMATH DE number 1758762