Spektralna teorija normalnih operatora

Juzbašić, Lara

undergraduate thesis

Spektralna teorija normalnih operatora

Juzbašić, Lara (2019)

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Numerical Mathematics Research Group

Cite this document

APA 6th Edition

Juzbašić, L. (2019). Spektralna teorija normalnih operatora (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:076879

MLA 8th Edition

Juzbašić, Lara. "Spektralna teorija normalnih operatora." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:076879

Chicago 17th Edition

Harvard

Juzbašić, L. (2019). 'Spektralna teorija normalnih operatora', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 31 May 2020, https://urn.nsk.hr/urn:nbn:hr:126:076879

Vancouver

Juzbašić L. Spektralna teorija normalnih operatora [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2020 May 31] Available at: https://urn.nsk.hr/urn:nbn:hr:126:076879

IEEE

L. Juzbašić, "Spektralna teorija normalnih operatora", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:076879

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:076879

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Metadata

Title	Spektralna teorija normalnih operatora
Title (english)	Spectral Theory of Normal Operators
Author	Lara Juzbašić
Mentor	Suzana Miodragović (mentor)
Mentor	Marija Miloloža Pandur (komentor)
Granter	Josip Juraj Strossmayer University of Osijek Department of Mathematics (Chair of Applied Mathematics) (Numerical Mathematics Research Group) Osijek
Defense date and country	2019-09-27, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics Other Mathematical Disciplines
Abstract	U ovom radu proučavamo normalne operatore i njihova spektralna svojstva. U prva tri poglavlja navest ćemo osnovne pojmove, definirati projektore i spomenuti njihova svojstva te objasniti vezu normalnog operatora s dekompozicijom jedinice. Nakon toga, Cayleyevim transformacijama povezat ćemo hermitske i unitarne operatore te proširiti pojam adjungiranog operatora. U posljednja dva poglavlja objasnit ćemo konstrukciju projektora na područje vrijednosti operatora te upoznati se s pojmom kvazi inverznog operatora i njegovom primjenom kod rješavanja problema najmanjih kvadrata.
Abstract (english)	In this bachelor’s thesis we will consider normal operators and their spectral properties. In the first three chapters we will investigate basic concepts, define projections and mention their properties. After that, we will connect Hermitian and unitary operators by Cayley transformations, and expand the concept of an adjoint operator. In the last two chapters the construction of a projection onto the image of an operator will be explained, and the concept of a generalized inverse and its usage in solving the least squares problem will be introduced.
Keywords
Language	croatian
URN:NBN	urn:nbn:hr:126:076879
Study programme	Title: University undergraduate study programme in mathematics Study programme type: university Study level: undergraduate Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2019-10-16 06:50:38