{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-1ZDQEO83/f7e1d614-4580-4e0d-977d-91e8b5569b5d/HTML","dcterms:extent":"270 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-1ZDQEO83/000a82ca-b7a5-40dc-9fc8-8af65baf0b29/PDF","dcterms:extent":"9154 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-1ZDQEO83/a93deab6-3856-46dc-a5ab-623bf867dc65/TEXT","dcterms:extent":"92 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-1ZDQEO83","dcterms:issued":"1971","dc:creator":"Tomšič, Gabrijel","dc:contributor":"Vidav, Ivan","dc:format":[{"@xml:lang":"sl","#text":"79 f., 30 cm"},{"@xml:lang":"sl","#text":"82 strani"}],"dc:identifier":["COBISSID:6099717","URN:URN:NBN:SI:doc-1ZDQEO83"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"G. Tomšič"},"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"sl","#text":"homogene spektralne mere"},{"@xml:lang":"sl","#text":"homogeni operatorji"},{"@xml:lang":"sl","#text":"kvaziinvariantne mere"},{"@xml:lang":"sl","#text":"teorija operatorjev"},{"@xml:lang":"sl","#text":"urejena reprezentacija"},{"@xml:lang":"sl","#text":"urejena reprezentacija za spektralne mere"}],"dc:title":{"@xml:lang":"sl","#text":"Homogeni operatorji in homogene spektralne mere| doktorska disertacija|"},"dc:description":[{"@xml:lang":"sl","#text":"A self adjoint operator ?$A$? defined on a separable Hilbert space is called homogeneous if, for every real ?$\\lambda$?, the operator ?$A - \\lambda I$? is unitarily equivalent to ?$A$?. Unitary operator ?$U$? on separable Hilbert space is called homogeneous if for each ?$\\alpha$?, ?$0 \\le \\alpha \\le 2\\pi$?, the operator ?$e^{i\\alpha}U$? is unitarily equivalent to ?$U$?. A characterization for homogeneous operators is given. Homogeneous spectral measure ?$E(e)$? on a separable Hilbert space is called homogeneous for every translation ?$\\tau$? and every Borel set ?$e$?, if the spectral measure ?$E(\\tau e)$? is equivalent to ?$E(e)$?. A characterization for homogeneous spectral measures is given"},{"@xml:lang":"sl","#text":"Sebi adjungiran operator ?$A$? definiran na separabilnem Hilbertovem prostoru je homogen, če je za vsak realen ?$\\lambda$? operator ?$A - \\lambda I$? unitarno ekvivalenten operatorju ?$A$?. Unitaren operator ?$U$? je homogen, če je ekvivalenten operatorju ?$e^{i\\alpha}U$? za vsak ?$\\alpha$?, ?$0 \\le \\alpha \\le 2\\pi$?. Spektralna mera ?$E(e)$? na separabilnem Hilbertovem prostoru je homogena za translacijo ?$\\tau$? in za vsako Borelovo množico ?$e$?, če je spektralna mera ?$E(\\tau e)$? ekvivalentna meri ?$E(e)$?. Namen naloge je dobiti karakterizacijo za homogene operatorje in za homogene spektralne mere"},{"@xml:lang":"sl","#text":"doktorska disertacija"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"visokošolska dela"},{"@xml:lang":"en","#text":"theses and dissertations"},{"@rdf:resource":"http://www.wikidata.org/entity/Q1266946"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-1ZDQEO83","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-1ZDQEO83"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-1ZDQEO83/000a82ca-b7a5-40dc-9fc8-8af65baf0b29/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza v Ljubljani, Fakulteta za matematiko in fiziko"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-1ZDQEO83/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-1ZDQEO83"}}}}