Publikation:

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

Lade...
Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2018

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Beitrag zu einem Konferenzband
Publikationsstatus
Published

Erschienen in

DUDUCHAVA, Roland, ed. and others. Operator Theory in Different Settings and Related Applications. Cham: Birkhäuser, 2018, pp. 243-250. Operator Theory : Advances and Applications. 262. ISSN 0255-0156. eISSN 2296-4878. ISBN 978-3-319-62526-3. Available under: doi: 10.1007/978-3-319-62527-0_7

Zusammenfassung

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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

26th International Workshop in Operator Theory and its Applications, 6. Juli 2015 - 10. Juli 2015, Tbilisi
Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690INFUSINO, Maria, Salma KUHLMANN, Murray MARSHALL, 2018. On the determinacy of the moment problem for symmetric algebras of a locally convex space. 26th International Workshop in Operator Theory and its Applications. Tbilisi, 6. Juli 2015 - 10. Juli 2015. In: DUDUCHAVA, Roland, ed. and others. Operator Theory in Different Settings and Related Applications. Cham: Birkhäuser, 2018, pp. 243-250. Operator Theory : Advances and Applications. 262. ISSN 0255-0156. eISSN 2296-4878. ISBN 978-3-319-62526-3. Available under: doi: 10.1007/978-3-319-62527-0_7
BibTex
@inproceedings{Infusino2018deter-37274.2,
  year={2018},
  doi={10.1007/978-3-319-62527-0_7},
  title={On the determinacy of the moment problem for symmetric algebras of a locally convex space},
  number={262},
  isbn={978-3-319-62526-3},
  issn={0255-0156},
  publisher={Birkhäuser},
  address={Cham},
  series={Operator Theory : Advances and Applications},
  booktitle={Operator Theory in Different Settings and Related Applications},
  pages={243--250},
  editor={Duduchava, Roland},
  author={Infusino, Maria and Kuhlmann, Salma and Marshall, Murray}
}
RDF
<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/server/rdf/resource/123456789/37274.2">
    <dcterms:issued>2018</dcterms:issued>
    <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>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-09T13:14:16Z</dcterms:available>
    <dc:contributor>Infusino, Maria</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <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">2018-04-09T13:14:16Z</dc:date>
    <dc:creator>Infusino, Maria</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:contributor>Marshall, Murray</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Kuhlmann, Salma</dc:creator>
    <dc:creator>Marshall, Murray</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/37274.2"/>
    <dc:contributor>Kuhlmann, Salma</dc:contributor>
    <dc:language>eng</dc:language>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen

Versionsgeschichte

Gerade angezeigt 1 - 2 von 2
VersionDatumZusammenfassung
2*
2018-04-09 13:09:20
2017-02-09 12:56:44
* Ausgewählte Version