Markov processes and positive semigroups on some classes of weighted continuous function spaces

In this paper we study strongly continuous positive semigroups on particular classes of weighted continuous function space on a locally compact Hausdorff space X having a countable base. In particular we characterize those positive semigroups which are the transition semigroups of suitable Markov pr...

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Bibliographic Details
Published inRendiconti del Circolo matematico di Palermo Vol. 57; no. 1; pp. 61 - 82
Main Authors Altomare, Francesco, Musceo, Graziana
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.04.2008
Subjects
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Markov Process
Compact Hausdorff Space
Order Differential Operator
Countable Base
Banach Lattice
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ISSN0009-725X
1973-4409
DOI10.1007/s12215-008-0003-x

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Summary:In this paper we study strongly continuous positive semigroups on particular classes of weighted continuous function space on a locally compact Hausdorff space X having a countable base. In particular we characterize those positive semigroups which are the transition semigroups of suitable Markov processes. Some applications are also discussed. Keywords Positive semigroup, Markov transition function, Markov process, Weighted continuous function space, Degenerate second order differential operator Mathematics Subject Classification (2000) 47D06, 47D07, 60J60
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-008-0003-x