On the lattice structure of kernel operators

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

GERLACH, Moritz, Markus KUNZE, 2015. On the lattice structure of kernel operators. In: Mathematische Nachrichten. 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218

@article{Gerlach2015latti-41248, title={On the lattice structure of kernel operators}, year={2015}, doi={10.1002/mana.201300218}, number={5-6}, volume={288}, issn={0025-584X}, journal={Mathematische Nachrichten}, pages={584--592}, author={Gerlach, Moritz and Kunze, Markus} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/41248"> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-06T12:46:28Z</dcterms:available> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:contributor>Kunze, Markus</dc:contributor> <dcterms:abstract xml:lang="eng">Consider the lattice of bounded linear operators on the space of Borel measures on a Polish space. We prove that the operators which are continuous with respect to the weak topology induced by the bounded measurable functions form a sublattice that is lattice isomorphic to the space of transition kernels. As an application we present a purely analytic proof of Doob's theorem concerning stability of transition semigroups.</dcterms:abstract> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Gerlach, Moritz</dc:contributor> <dcterms:title>On the lattice structure of kernel operators</dcterms:title> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:creator>Gerlach, Moritz</dc:creator> <dcterms:issued>2015</dcterms:issued> <dc:creator>Kunze, Markus</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-06T12:46:28Z</dc:date> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/41248"/> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Search KOPS


Browse

My Account