Publikation:

The truncated moment problem for unital commutative R-algebras

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2023

Autor:innen

Curto, Raul
Ghasemi, Mehdi

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
DOI (zitierfähiger Link)
https://doi.org/10.7900/jot.2021nov26.2392
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Journal of Operator Theory. Theta Foundation. 2023, 90(1), S. 223-261. ISSN 0379-4024. eISSN 1841-7744. Verfügbar unter: doi: 10.7900/jot.2021nov26.2392

Zusammenfassung

We investigate when a linear functional L defined on a linear subspace B of a unital commutative real algebra A admits an integral representation with respect to a positive Radon measure supported on a closed subset K of the character space of A. We provide a criterion for the existence of such a representation for L when A is equipped with a submultiplicative seminorm. We then build on this result to prove our main theorem for A not necessarily equipped with a topology. This allows us to extend well-known results on truncated moment problems.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Truncated moment problem, full moment problem, measure, integral representation, linear functional

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690CURTO, Raul, Mehdi GHASEMI, Maria INFUSINO, Salma KUHLMANN, 2023. The truncated moment problem for unital commutative R-algebras. In: Journal of Operator Theory. Theta Foundation. 2023, 90(1), S. 223-261. ISSN 0379-4024. eISSN 1841-7744. Verfügbar unter: doi: 10.7900/jot.2021nov26.2392
BibTex
@article{Curto2023-08-15trunc-75456,
  title={The truncated moment problem for unital commutative R-algebras},
  year={2023},
  doi={10.7900/jot.2021nov26.2392},
  number={1},
  volume={90},
  issn={0379-4024},
  journal={Journal of Operator Theory},
  pages={223--261},
  author={Curto, Raul and Ghasemi, Mehdi and Infusino, Maria and Kuhlmann, Salma}
}
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/123456789/75456">
    <dc:creator>Kuhlmann, Salma</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/75456"/>
    <dcterms:issued>2023-08-15</dcterms:issued>
    <dc:creator>Infusino, Maria</dc:creator>
    <dc:contributor>Ghasemi, Mehdi</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Curto, Raul</dc:creator>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:contributor>Curto, Raul</dc:contributor>
    <dc:language>eng</dc:language>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-12-11T12:19:47Z</dcterms:available>
    <dc:creator>Ghasemi, Mehdi</dc:creator>
    <dc:contributor>Infusino, Maria</dc:contributor>
    <dcterms:title>The truncated moment problem for unital commutative R-algebras</dcterms:title>
    <dcterms:abstract>We investigate when a linear functional L defined on a linear subspace B of a unital commutative real algebra A admits an integral representation with respect to a positive Radon measure supported on a closed subset K of the character space of A. We provide a criterion for the existence of such a representation for L when A is equipped with a submultiplicative seminorm. We then build on this result to prove our main theorem for A not necessarily equipped with a topology. This allows us to extend well-known results on truncated moment problems.</dcterms:abstract>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-12-11T12:19:47Z</dc:date>
    <dc:contributor>Kuhlmann, Salma</dc:contributor>
  </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
Unbekannt
Diese Publikation teilen