{"?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-IZ2ECKAO/d36516a5-59b6-43f8-b866-cf1dfcef2a5c/HTML","dcterms:extent":"525 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-IZ2ECKAO/a2ff5653-d62f-4ccd-92a9-eba156c0cffb/PDF","dcterms:extent":"8356 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-IZ2ECKAO/f5786db7-eb23-4e8b-873e-861ca66afbf0/TEXT","dcterms:extent":"70 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-IZ2ECKAO","dcterms:issued":"1977","dc:creator":"Legiša, Peter","dc:contributor":"Vidav, Ivan","dc:format":[{"@xml:lang":"sl","#text":"58 str., 30 cm"},{"@xml:lang":"sl","#text":"60 strani"}],"dc:identifier":["COBISSID:6140421","URN:URN:NBN:SI:doc-IZ2ECKAO"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"P. Legiša"},"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"en","#text":"Banach-Lie groups"},{"@xml:lang":"sl","#text":"Banach-Liejeve grupe"},{"@xml:lang":"sl","#text":"Banachovi prostori"},{"@xml:lang":"en","#text":"functional analysis"},{"@xml:lang":"sl","#text":"funkcionalna analiza"},{"@xml:lang":"en","#text":"hyperorthogonal basis"},{"@xml:lang":"en","#text":"Lie groups"},{"@xml:lang":"en","#text":"Liejeve grupe"},{"@xml:lang":"en","#text":"linear isometries"},{"@xml:lang":"sl","#text":"linearne izometrije"},{"@xml:lang":"sl","#text":"matematika"},{"@xml:lang":"en","#text":"mathematics"},{"@xml:lang":"sl","#text":"teorija operatorjev"},{"@rdf:resource":"http://www.wikidata.org/entity/Q622679"}],"dc:title":{"@xml:lang":"sl","#text":"Hermitski operatorji in izometrična struktura Banachovih prostorov| doktorska disertacija|"},"dc:description":[{"@xml:lang":"sl","#text":"We discuss isometric representations of type I factors on Banach spaces. Then we prove that the hermitian operators on a complex Banach space with a hyperorthogonal basis span a type I ?$W^\\ast$?-algebra, and a certain generalization of this result. We also find some sufficient conditions for the group of all linear isometries of a Banach space to be a Banach-Lie group in the norm topology"},{"@xml:lang":"sl","#text":"Najprej obravnavamo izometrične reprezentacije (ohranjajoče enoto) ?$W^\\ast$?-algeber (še posebej faktorjev tipa I) na Banachovih prostorih. Dokažemo, da vsi hermitski operatorji na kompleksnem Banachovem prostoru s hiperortogonalno bazo generirajo ?$W^\\ast$?-algebro tipa I, ter neko posplošitev tega rezultata. Najdemo tudi več zadostnih pogojev za to, da je grupa vseh linearnih izometrij Bqanachovega prostora nase Banach-Liejeva grupa v normni topologiji"},{"@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-IZ2ECKAO","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-IZ2ECKAO"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-IZ2ECKAO/a2ff5653-d62f-4ccd-92a9-eba156c0cffb/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, Naravoslovnotehniška fakulteta"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-IZ2ECKAO/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-IZ2ECKAO"}}}}