Trace-positive polynomials, sums of hermitian squares and the tracial moment problem

Burgdorf, Sabine

Trace-positive polynomials, sums of hermitian squares and the tracial moment problem

Dateien

Diss-Burgdorf.pdfGröße: 1.35 MBDownloads: 449

Datum

2011

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Titel in einer weiteren Sprache

Spurpositive Polynome, Summen hermitescher Quadrate und das spurige Momentenproblem

Publikationstyp

Dissertation

Publikationsstatus

Published

Zusammenfassung

The objects of the present investigation are polynomials in non-commuting variables that have nonnegative trace under all matrix evaluations. Questions on the representability as a sum of hermitian squares are considered as well as the corresponding dual problem, the tracial moment problem.

Zusammenfassung in einer weiteren Sprache

Gegenstand der vorliegenden Untersuchung sind Polynome in nicht-kommutierenden Variablen, deren Spur unter allen Matrix-Auswertungen stets nichtnegativ ist. Hierbei werden Fragen der Darstellbarkeit als Summe hermitescher Quadrate sowie das entsprechende duale Problem, das spurige Momentenproblem, behandelt.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

non-commutative polynomials, moment problem, trace, sum of hermitian squares

Zitieren

ISO 690

BURGDORF, Sabine, 2011. Trace-positive polynomials, sums of hermitian squares and the tracial moment problem [Dissertation]. Konstanz: University of Konstanz

BibTex

@phdthesis{Burgdorf2011Trace-13980,
  year={2011},
  title={Trace-positive polynomials, sums of hermitian squares and the tracial moment problem},
  author={Burgdorf, Sabine},
  address={Konstanz},
  school={Universität Konstanz}
}

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/123456789/13980">
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-07T10:11:25Z</dcterms:available>
    <dcterms:issued>2011</dcterms:issued>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/13980"/>
    <dc:contributor>Burgdorf, Sabine</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-07T10:11:25Z</dc:date>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Burgdorf, Sabine</dc:creator>
    <dcterms:alternative>Spurpositive Polynome, Summen hermitescher Quadrate und das spurige Momentenproblem</dcterms:alternative>
    <dcterms:abstract xml:lang="eng">The objects of the present investigation are polynomials in non-commuting variables that have nonnegative trace under all matrix evaluations. Questions on the representability as a sum of hermitian squares are considered as well as the corresponding dual problem, the tracial moment problem.</dcterms:abstract>
    <dcterms:title>Trace-positive polynomials, sums of hermitian squares and the tracial moment problem</dcterms:title>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/13980/2/Diss-Burgdorf.pdf"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/13980/2/Diss-Burgdorf.pdf"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:language>eng</dc:language>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
  </rdf:Description>
</rdf:RDF>

Prüfungsdatum der Dissertation

February 3, 2011

Universitätsbibliographie

Ja