Defective intertwining property and generator domain
type: Item
instance of: scholarly article
title: Defective intertwining property and generator domain
zbMATH Open document ID: 1113.47028
author: Ichiro Shigekawa
published in: Journal of Functional Analysis
publication date: 2007-01-09T00:00:00Z
review text: The generator of a linear semigroup plays an important role to study the evolution equations in general Banach spaces. The aim of this paper is to study the problem of intertwining of the generators of linear semigroups. Recall that the intertwining property takes the form \(DA=BD\), where \(A\) and \(B\) are the generators of semigroups and \(D\) is a closed operator. The authors prove the equivalence of the intertwining property in terms of the generator, resolvent operator and semigroup. An application is given to determine the exact generator domain of the Schrödinger operator.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 5083431
zbMATH Keywords: semigroup
zbMATH Keywords: intertwining property
zbMATH Keywords: generator domain
MaRDI profile type: Publication
full work available at URL: j.jfa.2006.07.007
OpenAlex ID: W1990042164
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DOI: 10.1016/J.JFA.2006.07.007
description: scientific article; zbMATH DE number 5083431