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master's thesis
Poopćenja skalarnog produkta
2020. urn:nbn:hr:217:073316
Hitrec, Mihaela
University of Zagreb
Faculty of Science

Cite this document

Hitrec, M. (2020). Poopćenja skalarnog produkta (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:073316

Hitrec, Mihaela. "Poopćenja skalarnog produkta." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:073316

Hitrec, Mihaela. "Poopćenja skalarnog produkta." Master's thesis, University of Zagreb, Faculty of Science, 2020. https://urn.nsk.hr/urn:nbn:hr:217:073316

Hitrec, M. (2020). 'Poopćenja skalarnog produkta', Master's thesis, University of Zagreb, Faculty of Science, accessed 16 April 2024, https://urn.nsk.hr/urn:nbn:hr:217:073316

Hitrec M. Poopćenja skalarnog produkta [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2020 [cited 2024 April 16] Available at: https://urn.nsk.hr/urn:nbn:hr:217:073316

M. Hitrec, "Poopćenja skalarnog produkta", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:217:073316

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Metadata
TitlePoopćenja skalarnog produkta
AuthorMihaela Hitrec
MentorSanja Varošanec (mentor)
Committee memberSanja Varošanec (predsjednik povjerenstva)
Committee memberŽeljka Milin Šipuš (član povjerenstva)
Committee memberRudi Mrazović (član povjerenstva)
Committee memberFranka Miriam Brückler (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
Zagreb
Defense date and country2020-07-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu definirali smo 2-skalarni produkt odnosno 2-unitarni prostor. Dokazana su svojstva 2-skalarnog produkta te neke od karakterizacija. Definirana je i pripadna 2-norma, te su također iskazana i dokazana neka njena svojstva. U zadnjem poglavlju definirano je Heronovo preslikavanje u unitarnim prostorima te u 2-normiranom prostoru. Navedene su neke primjene Heronovog preslikavanja. Također je prikazano svojstvo superaditivnosti i monotonosti nekih funkcionala povezanih s 2-skalarnim produktom.
Abstract (english)
In this thesis we have defined a 2-scalar product or 2-unitary space. The properties of the 2-scalar product and some of the characterizations are proved. The corresponding 2-norm is also defined, and some of its properties are also stated and proved. The last chapter defines Heron's mapping in unitary spaces and in 2-normed space. Some applications of Heron mapping are listed. The property of superadity and monotonicity of some functionalities associated with the 2-scalar product is also shown.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:073316
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2020-11-25 12:23:33