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Die Integration Schatten-operatorwertiger Funktionen bezüglich positiv-operatorwertiger Inhalte

Die Integration Schatten-operatorwertiger Funktionen bezüglich positiv-operatorwertiger Inhalte

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SIGG, Markus, 2006. Die Integration Schatten-operatorwertiger Funktionen bezüglich positiv-operatorwertiger Inhalte

@phdthesis{Sigg2006Integ-651, title={Die Integration Schatten-operatorwertiger Funktionen bezüglich positiv-operatorwertiger Inhalte}, year={2006}, author={Sigg, Markus}, address={Konstanz}, school={Universität Konstanz} }

<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/123456789/651"> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:23Z</dcterms:available> <dc:contributor>Sigg, Markus</dc:contributor> <dc:format>application/pdf</dc:format> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:23Z</dc:date> <dc:language>deu</dc:language> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <dcterms:abstract xml:lang="eng">Object of investigation are the existence and the extendability of a sesquilinear elementary integral of Schatten operator valued functions with respect to two positive operator-valued contents (PO contents). It turns out that a certain compatibility of the contents is necessary and sufficient for the existence of the elementary integral. The expansion of the elementary integral is handled by continuous extension with respect to suitable integral norms. In the case of PO contents which are represented by integration of positive operator valued functions with respect to non-negative contents, one can form the sesquilinear integral with respect to the PO contents and the sesquilinear integral with respect to the non-negative contents. A transformation theorem is proven which relates both integrals.</dcterms:abstract> <dcterms:title>Die Integration Schatten-operatorwertiger Funktionen bezüglich positiv-operatorwertiger Inhalte</dcterms:title> <dcterms:alternative>The Integration of Schatten operator valued functions with respect to positiv operator valued contents</dcterms:alternative> <dc:creator>Sigg, Markus</dc:creator> <dc:rights>deposit-license</dc:rights> <dcterms:issued>2006</dcterms:issued> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/651"/> </rdf:Description> </rdf:RDF>

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DissSigg_2006.pdf 35

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