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On the determinacy of the moment problem for symmetric algebras of a locally convex space

On the determinacy of the moment problem for symmetric algebras of a locally convex space

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INFUSINO, Maria, Salma KUHLMANN, Murray MARSHALL, 2017. On the determinacy of the moment problem for symmetric algebras of a locally convex space. In: Operator Theory : Advances and Applications. Basel:Springer International Publishing

@incollection{Infusino2017deter-37274, title={On the determinacy of the moment problem for symmetric algebras of a locally convex space}, year={2017}, address={Basel}, publisher={Springer International Publishing}, booktitle={Operator Theory : Advances and Applications}, author={Infusino, Maria and Kuhlmann, Salma and Marshall, Murray}, note={7 pages, note in memory of M. Marshall, minor corrections, acknowledgements added} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/37274"> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/37274"/> <dcterms:abstract xml:lang="eng">This note aims to show a uniqueness property for the solution (whenever exists) to the moment problem for the symmetric algebra S(V) of a locally convex space (V, τ). Let μ be a measure representing a linear functional L: S(V) → R. We deduce a sufficient determinacy condition on L provided that the support of μ is contained in the union of the topological duals of V w.r.t. to countably many of the seminorms in the family inducing τ. We compare this result with some already known in literature for such a general form of the moment problem and further discuss how some prior knowledge on the support of the representing measure influences its determinacy.</dcterms:abstract> <dc:contributor>Infusino, Maria</dc:contributor> <dc:language>eng</dc:language> <dc:creator>Marshall, Murray</dc:creator> <dc:contributor>Marshall, Murray</dc:contributor> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dc:creator>Infusino, Maria</dc:creator> <dcterms:issued>2017</dcterms:issued> <dcterms:title>On the determinacy of the moment problem for symmetric algebras of a locally convex space</dcterms:title> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-02-09T12:56:44Z</dc:date> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-02-09T12:56:44Z</dcterms:available> <dc:creator>Kuhlmann, Salma</dc:creator> </rdf:Description> </rdf:RDF>

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