{"?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-B7YAQF1N/01d6b129-90e9-46f8-b593-17203434eebb/HTML","dcterms:extent":"320 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-B7YAQF1N/74b86f9d-acc4-40d6-bea4-b6e5b1ea2172/PDF","dcterms:extent":"16991 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-B7YAQF1N/ca0ace31-7ee4-4059-ba3b-d0ac6289a681/TEXT","dcterms:extent":"167 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-B7YAQF1N","dcterms:issued":"1977","dc:creator":"Kramar, Edvard","dc:contributor":"Vidav, Ivan","dc:format":[{"@xml:lang":"sl","#text":"155 f., 30 cm"},{"@xml:lang":"sl","#text":"157 strani"}],"dc:identifier":["COBISSID:3671641","URN:URN:NBN:SI:doc-B7YAQF1N"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"E. Kramar"},"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"en","#text":"adjoint operatoru"},{"@xml:lang":"sl","#text":"algebra operatorjev"},{"@xml:lang":"sl","#text":"funkcionalna analiza"},{"@xml:lang":"sl","#text":"hilbertska polnorma"},{"@xml:lang":"sl","#text":"lokalno konveksni prostori"},{"@xml:lang":"sl","#text":"spektralna razčlenitev"},{"@xml:lang":"sl","#text":"spektri"},{"@xml:lang":"sl","#text":"topološki vektorski prostori"}],"dc:title":{"@xml:lang":"sl","#text":"Lokalno konveksni topološki vektorski prostori s hilbertskimi polnormami| doktorska disertacija|"},"dc:description":[{"@xml:lang":"sl","#text":"A locally convex topological vector spaces whose seminorms can be expressed with the semiscalar products are considered. The properties of such a space and linear operators in it are studied. The adjoint operator is defined and some theorems about the specter are proved. Various algebras of continuous operators are studied and it is shown that the algebra of the continuous operators, for which the adjoint operator exists, is a ?$LMC^\\ast$?-algebra. In the last section the spectral decomposition for a arbitrary selfadjoint operator is proved"},{"@xml:lang":"sl","#text":"Obravnavamo lokalno konveksne topološke vektorske prostore, katerih topologija se da definirati z neko družino polnorm, ki imajo še lastnost, da jih lahko izrazimo s polskalarnimi produkti. V takih (?$H$?-lokalno konveksnih) prostorih vpeljemo pojem ortogonalnih vektorjev, izražanje linearnih zveznih funkcionalov, definiramo pojem adjungiranega operatorja in proučimo nekatere njegove lastnosti. V naslednjih poglavjih študiramo strukturo algeber operatorjev, ki delujejo v takem prostoru. Med temi algebrami najdemo operatorsko algebro, ki je primer tako imenovane ?$LMC^\\ast$?-algebre in je posplošitev ?$C^\\ast$?-algebre. V zadnjem poglavju dokažemo za poljuben sebi adjungiran operator v ?$H$?-lokalno konveksnem prostoru njegovo spektralno razčlenitev"},{"@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-B7YAQF1N","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-B7YAQF1N"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-B7YAQF1N/74b86f9d-acc4-40d6-bea4-b6e5b1ea2172/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-B7YAQF1N/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-B7YAQF1N"}}}}