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dc.contributor.advisorĐolović, Ivana
dc.contributor.otherRakočević, Vladimir
dc.contributor.otherĐorđević, Dragan
dc.contributor.otherMalkowsky, Eberhard
dc.creatorPetković, Katarina I.
dc.date.accessioned2016-11-20T17:05:50Z
dc.date.available2016-11-20T17:05:50Z
dc.date.available2020-07-03T16:12:07Z
dc.date.issued2016-07-21
dc.identifier.urihttp://nardus.mpn.gov.rs/handle/123456789/7071
dc.identifier.urihttp://eteze.ni.ac.rs/application/showtheses?thesesId=4201
dc.identifier.urihttps://fedorani.ni.ac.rs/fedora/get/o:1140/bdef:Content/download
dc.identifier.urihttp://vbs.rs/scripts/cobiss?command=DISPLAY&base=70052&RID=1025344745
dc.description.abstractWithin 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.en
dc.formatapplication/pdf
dc.languagesr
dc.publisherУниверзитет у Нишу, Природно-математички факултетsr
dc.rightsopenAccessen
dc.sourceУниверзитет у Нишуsr
dc.subjectfunctional analysissr
dc.subjectfunkcionalna analizaen
dc.titleKarakterizacija ograničenih linearnih i kompaktnih operatora izmedju BK prostorasr
dc.typedoctoralThesis
dc.rights.licenseBY-NC-ND
dcterms.abstractЂоловић, Ивана; Малкоwскy, Еберхард; Ракочевић, Владимир; Ђорђевић, Драган; Петковић, Катарина И.; Карактеризација ограничених линеарних и компактних оператора измедју БК простора; Карактеризација ограничених линеарних и компактних оператора измедју БК простора;
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54264/Disertacija6421.pdf
dc.identifier.fulltexthttp://nardus.mpn.gov.rs/bitstream/id/54265/Petkovic_Katarina.pdf


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