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undergraduate thesis
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Unitary Operators
Ana Vilić (2018)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Numerical Mathematics Research Group
Cite this document

Vilić, A. (2018). Unitarni operatori (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:974704

Vilić, Ana. "Unitarni operatori." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:974704

Vilić, Ana. "Unitarni operatori." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:974704

Vilić, A. (2018). 'Unitarni operatori', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 14 December 2019, https://urn.nsk.hr/urn:nbn:hr:126:974704

Vilić A. Unitarni operatori [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2019 December 14] Available at: https://urn.nsk.hr/urn:nbn:hr:126:974704

A. Vilić, "Unitarni operatori", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:974704

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Metadata
TitleUnitarni operatori
Title (english)Unitary Operators
AuthorAna Vilić
MentorSuzana Miodragović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics)
(Numerical Mathematics Research Group)
Osijek
Defense date and country2018-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu bavit ćemo se pojmom unitarnog prostora te navesti operatore koji djeluju na tom prostoru, a posebnu pažnju ćemo posvetiti unitarnim operatorima. Za početak ćemo definirati skalarni produkt, unitaran prostor te neke druge osnovne pojmove poput norme i ortonormirane baze potrebne za opisivanje operatora koji slijede. U trećem poglavlju definirat ćemo unitarne operatore, navesti njihova svojstva i dati njihovu karakterizaciju. Zatim ćemo navesti druge primjere operatora na unitarnom prostoru. Na kraju ćemo spomenuti i normalne operatore čime ćemo objediniti dotad spomenute operatore na unitarnom prostoru.
Abstract (english)
In this paper we will deal with the concept of unitary space and provide examples of operators in the unitary space, with special attention to unitary operators. Firstly, we will define the scalar product and the term unitary space. Some other basic concepts will be mentioned, (e.g. the norm and the orthonormal basis) needed to describe those operators. In the third chapter we will define unitary operators, specify their properties and give their characterization. Furthermore, we will list other examples of operators in the unitary space. Finally, we will define normal operators, which will unify the above-mentioned operators in the unitary space.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:974704
Study programmeTitle: 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 resourceText
File originBorn digital
Access conditionsOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
Created on2018-10-18 07:39:53