Relation between the boundary point spectrum of a generator and of its adjoint
type: Item
instance of: scholarly article
title: Relation between the boundary point spectrum of a generator and of its adjoint
zbMATH Open document ID: 0746.47017
DOI: 10.5565/PUBLMAT_34290_17
published in: Publicacions Matemàtiques
publication date: 1992-06-25T00:00:00Z
full work available at URL: https://eudml.org/doc/41145
review text: The authors investigate relations between the boundary point spectrum of the generator \(A\) of a \(C_ 0\)-semigroup \((T(t))_{t\geq 0}\) and its adjoint \(A^*\). These relations are of interest in the context of the stability results on \(C_ 0\)-semigroups of Lyubich-Phóng and Arendt- Batty. The results are obtained for the cases that \((T(t))\) is weakly almost periodic and, if \((T(t))\) is positive on a Banach lattice, that \((T(t))\) is submarkovian.
reviewed by: Jürgen Voigt
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47B65
zbMATH DE Number: 8592
zbMATH Keywords: positive operator
zbMATH Keywords: boundary point spectrum of the generator
zbMATH Keywords: \(C_ 0\)- semigroup
zbMATH Keywords: adjoint
zbMATH Keywords: stability results
zbMATH Keywords: weakly almost periodic
zbMATH Keywords: Banach lattice
author: F. Andreu
author: J. M. Mazón
MaRDI profile type: Publication
OpenAlex ID: W4230054315
description: scientific article; zbMATH DE number 8592