The modulus of matrix semigroups
type: Item
instance of: scholarly article
title: The modulus of matrix semigroups
zbMATH Open document ID: 1070.47034
author: Martin Stein
author: Jürgen Voigt
published in: Archiv der Mathematik
publication date: 2004-10-05T00:00:00Z
review text: The authors close a gap in a proof of \textit{P. Charissiadis} [Arch. Math. 58, 345--353 (1992; Zbl 0726.47026)]. They consider unbounded operator matrices generating semigroups on products of Banach lattices with order continuous norm. Under certain conditions, they obtain an explicit matrix representation for the generator of the modulus semigroup. The results are generalizations of the well-known matrix case.
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47B60
zbMATH DE Number: 2106405
zbMATH Keywords: operator semigroups
zbMATH Keywords: positivity
zbMATH Keywords: modulus
zbMATH Keywords: matrix operators
reviewed by: András Bátkai
MaRDI profile type: Publication
full work available at URL: s00013-003-0591-9
OpenAlex ID: W2060821687
DOI: 10.1007/S00013-003-0591-9
description: scientific article; zbMATH DE number 2106405