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master's thesis
Hilbertov prostor
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:478477
Štajduhar, Maja
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Štajduhar, M. (2016). Hilbertov prostor (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:478477

Štajduhar, Maja. "Hilbertov prostor." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:478477

Štajduhar, Maja. "Hilbertov prostor." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:478477

Štajduhar, M. (2016). 'Hilbertov prostor', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:478477

Štajduhar M. Hilbertov prostor [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:478477

M. Štajduhar, "Hilbertov prostor", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:478477

Metadata
TitleHilbertov prostor
AuthorMaja Štajduhar
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberMirko Primc (član povjerenstva)
Committee memberBoris Guljaš (član povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu, u prvom poglavlju objasnili smo neke osnovne činjenice vezane uz vektorski i metrički prostor. Proučili smo konvergentne nizove i redove. U drugom poglavlju definirali smo Hilbertov prostor te povezujući elementarna svojstva iz prvog poglavlja ispitali smo od kakvih nizova se on sastoji. Dokazali smo da je Hilbertov prostor potprostor vektorskog prostora, da je separabilan i potpun te smo dokazali da je strogo konveksan bez grananja.
Abstract (english)
In this thesis in the first chapter, we explained some basic facts related to the vector and metric spaces. We also examined convergent sequences and series. In the second chapter we defined the Hilbert space and linking the basic properties of the first chapter we examined from which series he is composed. We proved that the Hilbert space is a subspace of vector space, that is separable and complete, and we also proved that it is strongly convex without ramifications.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:478477
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-14 09:18:13