Topološke baze Banachovih prostora

Stojanović, Hrvoje (2015) Topološke baze Banachovih prostora. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this thesis we have presented some fundamental results about topological bases in Banach spaces. Main tools used for that are fundamental results from theory of normed spaces such as Hahn-Banach theorem and uniform boundedness theorem. We have presented key property of topological bases which states that the coefficients from basis representations of vectors are continuous (with respect to those vectors). We have described some relations between topological bases and some other types of sequences that are similar to topological bases. In the end one special class of topological bases was described: unconditional bases for which convergence doesn’t depend on the ordering of the elements in the basis.

Item Type: Thesis (Diploma thesis)
Supervisor: Bakić, Damir
Date: 2015
Number of Pages: 44
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 27 Oct 2015 12:25
Last Modified: 27 Oct 2015 12:25
URI: http://digre.pmf.unizg.hr/id/eprint/4188

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