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master's thesis
Numerička slika operatora i matrica
Zagreb: University of Zagreb, Faculty of Science, 2020. urn:nbn:hr:217:493031
Matić, Petar
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Matić, P. (2020). Numerička slika operatora i matrica (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:493031

Matić, Petar. "Numerička slika operatora i matrica." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:493031

Matić, Petar. "Numerička slika operatora i matrica." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:493031

Matić, P. (2020). 'Numerička slika operatora i matrica', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:493031

Matić P. Numerička slika operatora i matrica [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:493031

P. Matić, "Numerička slika operatora i matrica", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:493031

Metadata
TitleNumerička slika operatora i matrica
Title (english)Numerical image of the operator and matrix
AuthorPetar Matić
MentorTomislav Berić (mentor)
Committee memberTomislav Berić (predsjednik povjerenstva)
Committee memberMarcela Hanzer (član povjerenstva)
Committee memberIlja Gogić (član povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2020-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu smo razvili osnovnu teoriju numeričke slike i pokazali neka fundamentalna svojstva koja vrijede za numeričku sliku i numerički radijus. Radili smo s ograničenim linearnim operatorima nad kompleksnim Hilbertovim prostorima. Opisali smo numeričku sliku raznih linearnih operatora, posebno za hermitske i normalne operatore. Pokazano je kako su povezani numerička slika i spektar operatora. Promatrali smo što se može zaključiti o numeričkoj slici ako nam je dan linearni operator i, obratno, ako nam je dana numerička slika nekog operatora, pokazali smo što se može zaključiti o tom istom operatoru iz njegove numeričke slike.
Abstract (english)
In this thesis, we have developed the basic theory of numerical range and shown some fundamental properties that apply to numerical range and numerical radius. We worked with bounded linear operators over complex Hilbert spaces. We have described the numerical range of various linear operators, especially for self-adjoint and normal operators. It was shown how the numerical range and the spectrum are related. We observed what can be concluded about the numerical range if we are given a linear operator and, conversely, if we are given the numerical range of an operator, we have shown what can be concluded about that same operator from its numerical range.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:493031
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-03-01 13:01:50