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dc.contributor.advisorĐorđević, Dragan
dc.contributor.otherPetković, Ljiljana
dc.contributor.otherŽivković-Zlatanović, Snežana
dc.contributor.otherMosić, Dijana
dc.contributor.otherRadović, Ljiljana
dc.creatorLjubenović, Martin Z.
dc.date.accessioned2017-07-01T13:45:07Z
dc.date.available2017-07-01T13:45:07Z
dc.date.available2020-07-03T16:12:17Z
dc.date.issued2017-03-23
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=5094
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/8341
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1345/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025444841
dc.description.abstractIn this dissertation, notions of weak majorization and weak supermajorization on descrete Lebesgue spaces are introduced, using doubly substochastic and superstochastic operators. We generalize very important results from finite dimenstional majorization theory, which give close relationships between standard and mentioned weak majorizations and corresponding stochastic operators. It is proved that all three majorization relations are pre-orders, and if we identify all functions which are different up to the permutation, or up to the partial permutation for weak majorization case, these relations may be considered as parial orders. The complete characterisation of linear preservers of weak majorization and weak supermajorization, has been carried out. It was observed that an arbitrary positive preserver one of investigated majorization, preserves the remaining two relations. It was provided that there are two different forms of linear preservers of weak majorization on discrete Lebesgue spaces lp(I), when p is greater than 1 and when p is equal 1. The notion of majorization on the set of all doubly stochastic operators is extended. Kakutani’s conjecture is restated and sufficient conditions that this conjecture is true are given.en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Нишу, Природно-математички факултетsr
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174007/RS//
dc.rightsopenAccessen
dc.sourceУниверзитет у Нишуsr
dc.subjectstohastički operatorisr
dc.subjectstochastic operatorsen
dc.subjectmajorization relationsen
dc.subjectpermutationen
dc.subjectdiscrete Lebesgue spacesen
dc.subjectmajorizacione relacijesr
dc.subjectpermutacijasr
dc.subjectdiskretni Lebegovi prostorisr
dc.titleMajorizacione relacije i stohastički operatori na diskretnim Lebegovim prostorimasr
dc.typedoctoralThesis
dc.rights.licenseBY-NC-ND
dcterms.abstractЂорђевић, Драган; Петковић, Љиљана; Живковић-Златановић, Снежана; Мосић, Дијана; Радовић, Љиљана; Љубеновић, Мартин З.; Мајоризационе релације и стохастички оператори на дискретним Лебеговим просторима; Мајоризационе релације и стохастички оператори на дискретним Лебеговим просторима;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54335/Ljubenovic_Martin_Z.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54334/Disertacija.pdf


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