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master's thesis
Linearni operatori na unitarnim prostorima
Zagreb: University of Zagreb, Faculty of Science, 2024. urn:nbn:hr:217:540983
Štriga, Marta
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Štriga, M. (2024). Linearni operatori na unitarnim prostorima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:540983

Štriga, Marta. "Linearni operatori na unitarnim prostorima." Master's thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:540983

Štriga, Marta. "Linearni operatori na unitarnim prostorima." Master's thesis, University of Zagreb, Faculty of Science, 2024. https://urn.nsk.hr/urn:nbn:hr:217:540983

Štriga, M. (2024). 'Linearni operatori na unitarnim prostorima', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:540983

Štriga M. Linearni operatori na unitarnim prostorima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2024 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:540983

M. Štriga, "Linearni operatori na unitarnim prostorima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:217:540983

Metadata
TitleLinearni operatori na unitarnim prostorima
Title (english)Linear operaters on inner product spaces
AuthorMarta Štriga
MentorLjiljana Arambašić (mentor)
Committee memberLjiljana Arambašić (predsjednik povjerenstva)
Committee memberVeronika Pedić Tomić (član povjerenstva)
Committee memberSlaven Kožić (član povjerenstva)
Committee memberGoran Igaly (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2024-07-19, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu proučavamo linearne operatore na unitarnim prostorima. Jedno od vaćnih pitanja koje razmatramo su matrični zapisi linearnih operatora u ortonormiranoj bazi, odnosno paru ortonormiranih baza. U ovom razmatranju se pojavljuju određene klase linearnih operatora karakteristične samo za unitarne prostore, a to su hermitski, normalni i unitarni operatori. Dokazat ćemo spektralni teorem, te proučiti polarnu formu operatora i dekompoziciju singularnim vrijednostima.
Abstract (english)
In this thesis, we study linear operators on inner-product spaces. One of the important issues we discuss are matrix representations of linear operators with respect to an orthonormal basis or a pair of orthonormal bases. In this consideration, certain classes of linear operators on inner-product spaces appear, and these are selfadjoint, normal and unitary operators. We prove the spectral theorem, the polar form of an operator and the singular value decomposition.
Keywords
Languagecroatian
URN:NBNurn:nbn:hr:217:540983
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: sveučilišni magistar edukacije matematike (sveučilišni magistar edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-07-24 14:05:54