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A Pettis-type integral and applications to transition semigroups

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KUNZE, Markus, 2012. A Pettis-type integral and applications to transition semigroups. In: Czechoslovak Mathematical Journal. 61(2), pp. 437-459. ISSN 0011-4642. eISSN 1572-9141. Available under: doi: 10.1007/s10587-011-0065-3

@article{Kunze2012-02-09Petti-41255, title={A Pettis-type integral and applications to transition semigroups}, year={2012}, doi={10.1007/s10587-011-0065-3}, number={2}, volume={61}, issn={0011-4642}, journal={Czechoslovak Mathematical Journal}, pages={437--459}, author={Kunze, Markus} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:language>eng</dc:language> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:isPartOf rdf:resource=""/> <dcterms:abstract xml:lang="eng">Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we give conditions ensuring that a semigroup consisting of kernel operators has a Laplace transform which also consists of kernel operators. We also provide conditions under which a semigroup is uniquely determined by its Laplace transform.</dcterms:abstract> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:issued>2012-02-09</dcterms:issued> <dcterms:available rdf:datatype="">2018-02-06T13:35:54Z</dcterms:available> <dc:contributor>Kunze, Markus</dc:contributor> <dc:date rdf:datatype="">2018-02-06T13:35:54Z</dc:date> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <bibo:uri rdf:resource=""/> <dcterms:title>A Pettis-type integral and applications to transition semigroups</dcterms:title> <dc:creator>Kunze, Markus</dc:creator> </rdf:Description> </rdf:RDF>

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