Title
Konzistentnost i problemi kompletiranja operatorskih matrica: doktorske disertacije
Creator
Kostadinov, Marko V., 1991-
CONOR:
89913097
Copyright date
2022
Object Links
Select license
Autorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
License description
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/by-nc-nd/3.0/rs/deed.sr_LATN. Sadržaj ugovora u celini: http://creativecommons.org/licenses/by-nc-nd/3.0/rs/legalcode.sr-Latn
Language
Serbian
Cobiss-ID
Theses Type
Doktorska disertacija
description
Datum odbrane: 29. 06. 2022.
Other responsibilities
član komisije
Milovanović, Gradimir
član komisije
Pavlović, Vladimir
član komisije
Nikolov Radenković, Jovana
Academic Expertise
Prirodno-matematičke nauke
Academic Title
-
University
Univerzitet u Nišu
Faculty
Prirodno-matematički fakultet
Group
Odsek za matematiku i informatiku
Alternative title
Consistency and completion problems of operator matrices
Publisher
[M. V. Kostadinov]
Format
[10], 89 listova
description
Biobibliografski podaci: listovi 88-89,
Bibliografija: listovi 82-87.
description
Mathematcial analisys, Functional Analysis
Abstract (en)
In this thesis different types of operator matrix completions have been studied, as well as consistency in invertibility and in Fredholmnes. The property consistency has been considered on Banach algebras in the sense of concsistency in invertibility and consistence in Fredholmnes. Result concering completions of operator matrices are linked to certain properties of a linear combination of two arbitrary Hilbert space operators. The properties studied in this thesis are: invertibility, injectivity, left (right) invertibility, closednes of range, consistency in invertibility of a linear combination of two arbitrary Hilbert space operators. Some of these results are applied to the study of the Generalized Bott-Duffin inverse, primarily to represent the Generalized Bott-Duffin inverse of bounded linear operator on a Hilbert space using an operator matrix. The obtained operator matrix representation of the Generalized Bott-Duffin inverse is a generalization of previous results.
Authors Key words
funkcionalna analiza / uopšteni inverzi, Banahove algebra, invertibilnost, polu-regularan skup, Hilbertov prostor, konzistentnost, konzistentnost u invertibilnosti, Fredholmov operator, Fredholm konzistentan operator, operatorske matrice, separabilan Hilbertov prostor, projektori, ortogonalne projekcije, Bot-Dafinov inverz, Uopšteni Bot-Dafinov inverz
Authors Key words
functional analysis / generalized inverses, Banach algebra, invertibility, semiregularity, Hilbert space, consistency, consistent in invertibility, Fredholm operator, Fredholm consistent operator, operator matrices, Injectivity, operator matrix, separable Hilbert space, projectors, orthogonal projections, Bott–Duffin inverse, Generalised Bott–Duffin inverse
Classification
517.98:517.983.23/.24(043.3)
Subject
P140
Type
Tekst
Abstract (en)
In this thesis different types of operator matrix completions have been studied, as well as consistency in invertibility and in Fredholmnes. The property consistency has been considered on Banach algebras in the sense of concsistency in invertibility and consistence in Fredholmnes. Result concering completions of operator matrices are linked to certain properties of a linear combination of two arbitrary Hilbert space operators. The properties studied in this thesis are: invertibility, injectivity, left (right) invertibility, closednes of range, consistency in invertibility of a linear combination of two arbitrary Hilbert space operators. Some of these results are applied to the study of the Generalized Bott-Duffin inverse, primarily to represent the Generalized Bott-Duffin inverse of bounded linear operator on a Hilbert space using an operator matrix. The obtained operator matrix representation of the Generalized Bott-Duffin inverse is a generalization of previous results.
“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 ETUB-MS xml, local adaptation of international ETD-MS scheme intended for use in academic documents.