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master's thesis
Specijalni realni vektorski prostori
2021. urn:nbn:hr:126:879498
Džigumović, Paula
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group

Cite this document

Džigumović, P. (2021). Specijalni realni vektorski prostori (Master's thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:879498

Džigumović, Paula. "Specijalni realni vektorski prostori." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:879498

Džigumović, Paula. "Specijalni realni vektorski prostori." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:879498

Džigumović, P. (2021). 'Specijalni realni vektorski prostori', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 October 2021, https://urn.nsk.hr/urn:nbn:hr:126:879498

Džigumović P. Specijalni realni vektorski prostori [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2021 October 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:879498

P. Džigumović, "Specijalni realni vektorski prostori", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:879498

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Metadata
TitleSpecijalni realni vektorski prostori
Title (english)Special Real Vector Spaces
AuthorPaula Džigumović
MentorDragana Jankov Maširević (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberDragana Jankov Maširević (član povjerenstva)
Committee memberIvan Matić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics)
(Probability and Mathematical Statistics Research Group)
Osijek
Defense date and country2021-07-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U ovom radu upoznat ćemo se s pojmom realnog vektorskog prostora i nekim specijalnim realnim vektorskim prostorima. Defnirat ćemo preslikavanja uz koja realan vektorski prostor postaje unitaran, normiran i metrički te familiju skupova uz koju on postaje topološki prostor. Ilustrirat ćemo način na koji se unitaran prostor može proširiti do normiranog, normiran do metričkog i metrički do topološkog prostora. Također, upoznat ćemo se s Banachovim i Hilbertovim prostorom. Navest ćemo primjere, svojstva i tvrdnje koje vrijede u pojedinom prostoru.
Abstract (english)
In this paper, we will get familiar with the term real vector space and some special real vector spaces. We will dene mappings that make a real vector space into an inner product space, normed space and metric space, and a family of sets that makes it into a topological space. We will illustrate the way in which an inner product space can be extended to a normed space, normed to a metric, and metric to a topological space. We will also get familiar with Banach and Hilbert spaces. We will list examples, properties and statements that are valid in each of the mentioned spaces.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:879498
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2021-07-06 06:21:39