Elementarni operatori i transformacije tipa skalarnog proizvoda na idealima kompaktnih operatora generisanim p-modifikovanim normama i njihovim dualima

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Elementarni operatori i transformacije tipa skalarnog proizvoda na idealima kompaktnih operatora generisanim p-modifikovanim normama i njihovim dualima

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dc.contributor.advisor Jocić, Danko
dc.contributor.author Milošević, Stefan
dc.date.accessioned 2018-03-09T14:16:21Z
dc.date.available 2018-03-09T14:16:21Z
dc.date.issued 2017
dc.identifier.uri http://hdl.handle.net/123456789/4656
dc.description.abstract In this paper we present some norm inequalities for certain elementary operators and inner product type transformers, specially for Schatten norms, if the families of operators generating those transforms consists of arbitrary operators, and Q norms if at least one of those families consists of mutually commuting normal operators. Among others, we present inequalities that are generalizing the inequality p I􀀀A AX p I􀀀B B 6 X 􀀀AXB ; from [11, Th. 2.3], for normal contractions and arbitrary unitarily invariant norm, to the case of Schatten norms and arbitrary contractions, as well as Q norms if at least one of the contractions A or B is normal. Also, by applying norm inequalities for operator monotone and operator convex functions, some refined Cauchy - Schwarz operator inequalities, as well as Minkowski and Landau - Gruss norm inequalities for operators are obtained as well. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2018-03-09T14:16:21Z No. of bitstreams: 1 Stefan_Milosevic_Disertacija.pdf: 2544484 bytes, checksum: 062546548db831564106c585e9d69773 (MD5) en
dc.description.provenance Made available in DSpace on 2018-03-09T14:16:21Z (GMT). No. of bitstreams: 1 Stefan_Milosevic_Disertacija.pdf: 2544484 bytes, checksum: 062546548db831564106c585e9d69773 (MD5) Previous issue date: 2017 en
dc.language.iso sr en_US
dc.publisher Beograd en_US
dc.title Elementarni operatori i transformacije tipa skalarnog proizvoda na idealima kompaktnih operatora generisanim p-modifikovanim normama i njihovim dualima en_US
mf.author.birth-date 1988
mf.author.birth-place Beograd en_US
mf.author.birth-country Srbija en_US
mf.author.residence-state Srbija en_US
mf.author.citizenship Srpsko en_US
mf.author.nationality Srbin en_US
mf.subject.area Mathematics en_US
mf.subject.keywords Elementary operators, Unitarily invariant norms, Q norms, Spectral defect operators en_US
mf.subject.subarea Analysis en_US
mf.contributor.committee Đorđević, Dragan
mf.contributor.committee Krtinić, Đorđe
mf.contributor.committee Jocić, Danko
mf.document.references 25 en_US
mf.document.pages 65 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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