No Thumbnail Available
1998
Sigg, Markus
##### Series
Konstanzer Schriften in Mathematik und Informatik ; 49
Preprint
##### Abstract
The elementary square integral of simple Hilbert-Schmidt operator valued functions with respect to two POV contents or (weak) POV measures can be extended to larger function spaces, that are the closure of the simple functions with respect to suitable pseudonorms. The procedure (continuous extension with respect to the pseudonorms) is very easy and natural, it is advantageous even in the special case of POV measures created from classical measures, explored by other authors, and it allows to deal with more general situations than it has been possible up to now. The POV contents are expandable to rings of measurable sets in a way compatible to the extended square integral.
##### Subject (DDC)
004 Computer Science
##### Cite This
ISO 690SIGG, Markus, 1998. Quadratintegrierbare Funktionen
BibTex
@unpublished{Sigg1998Quadr-6179,
year={1998},
author={Sigg, Markus}
}

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#" >
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:10:00Z</dcterms:available>
<dc:contributor>Sigg, Markus</dc:contributor>
<dc:format>application/pdf</dc:format>
<dc:rights>terms-of-use</dc:rights>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6179/1/preprint_049.pdf"/>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/6179/1/preprint_049.pdf"/>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/6179"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/36"/>
<dcterms:issued>1998</dcterms:issued>
<dcterms:abstract xml:lang="eng">The elementary square integral of simple Hilbert-Schmidt operator valued functions with respect to two POV contents or (weak) POV measures can be extended to larger function spaces, that are the closure of the simple functions with respect to suitable pseudonorms. The procedure (continuous extension with respect to the pseudonorms) is very easy and natural, it is advantageous even in the special case of POV measures created from classical measures, explored by other authors, and it allows to deal with more general situations than it has been possible up to now. The POV contents are expandable to rings of measurable sets in a way compatible to the extended square integral.</dcterms:abstract>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:creator>Sigg, Markus</dc:creator>
<dc:language>deu</dc:language>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-24T16:10:00Z</dc:date>
</rdf:Description>
</rdf:RDF>