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Dual Spaces
Doris Aleksov (2018)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Numerical Mathematics Research Group
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Aleksov, D. (2018). Dualni prostori (Undergraduate thesis). 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 16 September 2019, 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 2019 September 16] 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

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)
(Numerical 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: Matematika
Study programme type: sveučilišni
Study level: preddiplomski
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 on2019-07-08 08:02:06