E teze

Theses metadata

“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.

Export

Creator:	Petković, Katarina I. 1975-
Title:	Karakterizacija ograničenih linearnih i kompaktnih operatora izmedju BK prostora
Copyright date:	2016
Permanent link:	https://phaidrani.ni.ac.rs/detail_object/o:1140?tab=0#mda
Full text preview:
Download link:
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

Academic metadata

Theses Type:	Doktorska disertacija
Academic Expertise :	Prirodno-matematičke nauke
University:	Univerzitet u Nišu
Faculty:	Prirodno-matematički fakultet
Group:	Odsek za matematiku i informatiku

Other Theses Metadata

Alternative title:	Characterization of bounded linear and compact operators between BK spaces
Publisher:	[K. I. Petković]
Format:	94 str.
description:	Biografija autora: str. [99-100]
description:	Datum odbrane:21.07.2016.
description:	mathematical analysis
Other responsibilities:	Đolović, Ivana (mentor)
Other responsibilities:	Rakočević, Vladimir 1953- (član komisije)
Other responsibilities:	Đorđević, Dragan 1970- (član komisije)
Other responsibilities:	Malkowsky, Eberhard (član komisije)
Abstract:	Within this thesis , the new sequence spaces are introduced and the similarities and the differences between the matrix transformations and the general linear bounded operators on BK spaces are considered. The characterization of matrix transformations between new-defined sequence spaces is done by applying the theory of FK and BK spaces along with the results related to matrix domains of triangles. In some cases, where it is possible, the representation of general linear bounded operator is given by infinite matrix. Further on, the condition for compactness of certain classes of operators are given. Applying the Hausdorff measure of noncompactness, the necessary and sufficient conditions for compactness are obtained. In the cases where it is not possible, and where instead of the exact value we can only get the estimations for the measure of noncompactness of the operator, the results of Sargent are applied. This thesis contains some of such, improved, examples but also the new results concerning the newly defined spaces. The cases in which one can not apply the Hausdorff measure, nor the results of Sargent, are examined too, and the special properties of considered sequence spaces are used to obtain the characterizations of compact operators. In certain situations the results of compactness are formulated for the general bounded linear operators as well as for the matrix linear operators.
Authors Key words:	functional analysis
Authors Key words:	funkcionalna analiza
Classification:	517.982.2+517.983(043.3)
Language:	Serbian
Identifier:	1025344745
Type:	Elektronska teza

Abstract:

Within this thesis , the new sequence spaces are introduced and the similarities and the differences between the matrix transformations and the general linear bounded operators on BK spaces are considered. The characterization of matrix transformations between new-defined sequence spaces is done by applying the theory of FK and BK spaces along with the results related to matrix domains of triangles. In some cases, where it is possible, the representation of general linear bounded operator is given by infinite matrix. Further on, the condition for compactness of certain classes of operators are given. Applying the Hausdorff measure of noncompactness, the necessary and sufficient conditions for compactness are obtained. In the cases where it is not possible, and where instead of the exact value we can only get the estimations for the measure of noncompactness of the operator, the results of Sargent are applied. This thesis contains some of such, improved, examples but also the new results concerning the newly defined spaces. The cases in which one can not apply the Hausdorff measure, nor the results of Sargent, are examined too, and the special properties of considered sequence spaces are used to obtain the characterizations of compact operators. In certain situations the results of compactness are formulated for the general bounded linear operators as well as for the matrix linear operators.