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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
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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 22 February 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 February 22] 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

Metadata
TitleUnitarni operatori
AuthorAna Vilić
Mentor(s)Suzana Miodragović (thesis advisor)
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.
Keywordsscalar product unitary space unitary operator hermitian adjoint normal operator
Parallel title (English)Unitary Operators
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Lower level organizational unitsChair of Applied Mathematics
Numerical Mathematics Research Group
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Algebra
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2018-09-24
Parallel 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.
Parallel keywords (Croatian)skalarni produkt unitaran prostor unitaran operator hermitski adjungiran operator normalan operator
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:974704