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dc.contributor.advisorRakočević, Vladimir
dc.contributor.otherĐorđević, Dragan
dc.contributor.otherĐolović, Ivana
dc.contributor.otherŽivković-Zlatanović, Snežana
dc.contributor.otherMosić, Dijana
dc.creatorRadojević, Ivana M.
dc.date.accessioned2017-04-22T09:30:06Z
dc.date.available2017-04-22T09:30:06Z
dc.date.available2020-07-03T16:12:14Z
dc.date.issued2016-12-08
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=4847
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/7941
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1293/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025419497
dc.description.abstractIn this dissertation the original results in matrix theory and general inverses theory in finite-dimensional indefinite inner product spaces are presented. Linear relations are used for the extension of some results in degenerate case. In the first part a generalization of the notion of normality and hyponormality is established.Quasihyponormal and strongly quasihyponormal matrices and linear relations are defined in nondegenerate and degenerate indefinite inner product spaces. A characterization of quasihyponormal and strongly quasihyponormal matrices in those spaces is given. In the second part a Moore-Penrose inverse of matrices and linear relations in degenerate indefinite inner product spaces is defined. Some properties of this inverse for matrices in degenerate case are shown. Results in the third part concerns EP matrices in indefinite inner product spaces with respect to indefinite matrix product. These matrices are J-EP matrices. The connection among EP, J-EP matrices and the reverse order law for the Moore- Penrose inverse of the indefinite matrix product is studied.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.subjectFunkcionalna analizasr
dc.subjectfunctional analysisen
dc.titleUopšteni inverzi i kvazihiponormalne matrice u prostorima sa nedefinisanim skalarnim proizvodomsr
dc.typedoctoralThesisen
dc.rights.licenseBY-NC-ND
dcterms.abstractРакочевић, Владимир; Мосић, Дијана; Живковић-Златановић, Снежана; Ђоловић, Ивана; Ђорђевић, Драган; Радојевић, Ивана М.; Уопштени инверзи и квазихипонормалне матрице у просторима са недефинисаним скаларним производом; Уопштени инверзи и квазихипонормалне матрице у просторима са недефинисаним скаларним производом;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54314/Radojevic_Ivana_M.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54313/Disertacija.pdf


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