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dc.contributor.advisorDinčić, Nebojša Č.
dc.contributor.otherRakočević, Vladimir
dc.contributor.otherPilipović, Stevan
dc.contributor.otherŠemrl, Peter
dc.contributor.otherŽivković-Zlatanović, Snežana
dc.creatorĐorđević, Bogdan D.
dc.date.accessioned2021-09-29T11:05:43Z
dc.date.available2021-09-29T11:05:43Z
dc.date.issued2021-02-09
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=8234
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1730/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=37827081
dc.identifier.urihttps://nardus.mpn.gov.rs/handle/123456789/18559
dc.description.abstractThis thesis concerns singular Sylvester operator equations, that is, equations of the form AX-XB=C, under the premise that they are either unsolvable or have infinitely many solutions. The equation is studied in different cases, first in the matrix case, then in the case when A, B and C are bounded linear operators on Banach spaces, and finally in the case when A and B are closed linear operators defined on Banach or Hilbert spaces. In each of these cases, solvability conditions are derived and then, under those conditions, the initial equation is solved. Exact solutions are obtained in their closed forms, and their classification is conducted. It is shown that all solutions are obtained in the manner illustrated in this thesis. Special attention is dedicated to approximation schemes of the solutions. Obtained results are illustrated on some contemporary problems from operator theory, among which are spectral problems of bounded and unbounded linear operators, Sturm-Liouville inverse problems and some operator equations from quantum mechanics.en
dc.formatapplication/pdf
dc.languageen
dc.publisherУниверзитет у Нишу, Природно-математички факултетsr
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174004/RS//
dc.relationinfo:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174007/RS//
dc.rightsopenAccessen
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceУниверзитет у Нишуsr
dc.subjectSylvester equation; operator equations; operator algebras; spectral theory of operators; closed operators; Fredholm theory; Banach algebrassr
dc.subjectSilvesterova jednačina; operatorske jednačine; algebre operatora; spektralna teorija operatora; zatvoreni operatori; Fredholmova teorija; Banahove algebreen
dc.titleSingular Sylvester equation and its applicationssr
dc.typedoctoralThesis
dc.rights.licenseBY-NC-ND
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/76394/Djordjevic_Bogdan_D.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/76395/Doctoral_thesis_11451.pdf
dc.identifier.rcubhttps://hdl.handle.net/21.15107/rcub_nardus_18559


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