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undergraduate thesis
Dualni prostori
2018. urn:nbn:hr:126:687336
Aleksov, Doris
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Geometry and Mathematics Teaching Mathematics Research Group

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Aleksov, D. (2018). Dualni prostori (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:687336

Aleksov, Doris. "Dualni prostori." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:687336

Aleksov, Doris. "Dualni prostori." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:687336

Aleksov, D. (2018). 'Dualni prostori', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 25 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:687336

Aleksov D. Dualni prostori [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2025 February 25] Available at: https://urn.nsk.hr/urn:nbn:hr:126:687336

D. Aleksov, "Dualni prostori", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:687336

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Metadata
TitleDualni prostori
Title (english)Dual Spaces
AuthorDoris Aleksov
MentorIvana Kuzmanović Ivičić (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Geometry and Mathematics Teaching Mathematics Research Group)
Osijek
Defense date and country2018-09-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
Svaki vektorski prostor V ima odgovarajući dualni prostor koji se sastoji od lineranih funkcionala na V. Za ovako definiran dualni prostor pokazat ćemo kako odrediti njegovu bazu ukoliko poznajemo bazu vektorskog prostora V. Također, uvest ćemo i dual duala te pokazati da je on izomorfan početnom prostoru. Kao posebno zanimljiv potprostor dualnog prostora izdvojit ćemo anihilator te promotriti neka njegova važna svojstva.
Abstract (english)
Each vector space V has a corresponding dual space consisting of liner functionals at V. For dual space defined in this way we will show how to determine its basis if we know the basis vectors of space V. Also, we will introduce double dual and show that it is isomorphic to the initial space. As an especially interesting subspace of the dual space, we will mention the annihilator and give some of his important properties.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:687336
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 useLicence In copyright icon
Created on2019-07-08 08:02:06