Markov processes and positive semigroups on some classes of weighted continuous function spaces
type: Item
instance of: scholarly article
title: Markov processes and positive semigroups on some classes of weighted continuous function spaces
zbMATH Open document ID: 1164.47046
author: Francesco Altomare
author: Graziana Musceo
publication date: 2008-06-25T00:00:00Z
review text: The authors consider positive semigroups on some classes of weighted continuous function spaces over the LCCB space \(X\). By a positive maximum principle, they establish first a generation result for strongly continuous positive semigroups on such function spaces. Then, they characterize those positive semigroups which are transition functions of Markov processes on a suitable compactification of \(X\). Finally, they apply their results to a class of degenerate second order differential operators on \(X= \; ]0,1[\).
reviewed by: Mohamed Hmissi
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 5292718
zbMATH Keywords: positive semigroup
zbMATH Keywords: Markov transition function
zbMATH Keywords: Markov process
zbMATH Keywords: weighted continuous function spaces
zbMATH Keywords: degenerate second order differential operator
MaRDI profile type: Publication
full work available at URL: s12215-008-0003-x
OpenAlex ID: W2047409044
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DOI: 10.1007/S12215-008-0003-X
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 5292718