Linearni operatori na unitarnim prostorima

Štriga, Marta

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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

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APA 6th Edition

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

MLA 8th Edition

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

Chicago 17th Edition

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

Harvard

Štriga, M. (2024). 'Linearni operatori na unitarnim prostorima', Master's thesis, University of Zagreb, Faculty of Science, accessed 22 January 2025, https://urn.nsk.hr/urn:nbn:hr:217:540983

Vancouver

Štriga M. Linearni operatori na unitarnim prostorima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2024 [cited 2025 January 22] Available at: https://urn.nsk.hr/urn:nbn:hr:217:540983

IEEE

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

Cite this item: https://urn.nsk.hr/urn:nbn:hr:217:540983

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Metadata

Title	Linearni operatori na unitarnim prostorima
Title (english)	Linear operaters on inner product spaces
Author	Marta Štriga
Mentor	Ljiljana Arambašić (mentor)
Committee member	Ljiljana Arambašić (predsjednik povjerenstva)
Committee member	Veronika Pedić Tomić (član povjerenstva)
Committee member	Slaven Kožić (član povjerenstva)
Committee member	Goran Igaly (član povjerenstva)
Granter	University of Zagreb Faculty of Science (Department of Mathematics) Zagreb
Defense date and country	2024-07-19, 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
Language	croatian
URN:NBN	urn:nbn:hr:217:540983
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Repository of the Faculty of Science
Created on	2024-07-24 14:05:54