“Data exchange” service offers individual users metadata transfer in several different formats. Citation formats are offered for transfers in texts as for the transfer into internet pages. Citation formats include permanent links that guarantee access to cited sources. For use are commonly structured metadata schemes : Dublin Core xml and ETUBMS xml, local adaptation of international ETDMS scheme intended for use in academic documents.
AutorstvoNekomercijalnoBez prerade 3.0 Srbija (CC BYNCND 3.0)
Dozvoljavate samo preuzimanje i distribuciju dela, ako/dok se pravilno naznačava ime autora, bez ikakvih promena dela i bez prava komercijalnog korišćenja dela. Ova licenca je najstroža CC licenca. Osnovni opis Licence: http://creativecommons.org/licenses/byncnd/3.0/rs/deed.sr_LATN. Sadržaj ugovora u celini: http://creativecommons.org/licenses/byncnd/3.0/rs/legalcode.srLatn
Academic metadata
Doktorska disertacija
Prirodnomatematičke nauke

Univerzitet u Nišu
Prirodnomatematički fakultet
Odsek za matematiku i informatiku
Other Theses Metadata
Singularna Silvesterova jednačina i njene primene
[B. D. Đorđević]
VIII, 113 str.
Biografija autora sa bibliografijom: str. 111113;
Bibliografija: str. 101109.
This thesis concerns singular Sylvester operator equations, that is, equations of the form AXXB=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, SturmLiouville inverse problems and some operator equations from quantum mechanics.
Sylvester equation; operator equations; operator algebras; spectral theory of operators; closed operators; Fredholm theory; Banach algebras
This thesis concerns singular Sylvester operator equations, that is, equations of the form AXXB=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, SturmLiouville inverse problems and some operator equations from quantum mechanics.