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1.
REŠEVANJE LINEARNIH REKURZIVNIH ENAČB
Sonja Cank, 2010, undergraduate thesis

Abstract: V diplomski nalogi so predstavljene osnove kombinatorike, ki so potrebne za razumevanje rekurzije. Reševanje linearnih rekurzivnih enačb,lastnosti ter uporaba pa so jedro diplomskega dela.V uvodnem poglavju je razloºeno, kaj pomeni rekurzivno podajanje formule. Nato je na primeru razloºen postopek re²evanja linearnih rekurzivnih ena£b. Najprej si bomo pogledali homogene linearne rekurzivne enačbe s konstantnimi koeficienti, na to nehomogene enačbe in za konec še reševanje sistema linearnih rekurzivnih enačb. V vsakem poglavju so rešeni konkretni primeri.
Keywords: matematika, kombinatorika, linearne rekurzivne enačbe, karakteristični polinom, homogena enačba, splošna rešitev, partikularna rešitev.
Published: 03.02.2021; Views: 87; Downloads: 10
.pdf Full text (276,61 KB)

2.
O PROBLEH UJEMANJA POVPRAŠEVANJA IN PONUDBE
Jernej Kokošinc, 2010, undergraduate thesis

Abstract: Mikroekonomija se ukvarja z analizo posameznih ekonomskih objektov, makroekonomija pa z delovanjem ekonomije kot celote. Pri prvi se s problemi ujemanja srečujemo pri tržnem mehanizmu, ko določamo ravnotežno ceno, pri drugi pa pri sektorski analizi, ko analiziramo celotno strukturo gospodarstva. V obeh primerih si pomagamo z linearno algebro, ki nam omogoči pregledno in natančno reševanje problema.
Keywords: povpraševanje, ponudba, ravnotežna cena in količina, input-output tabelA
Published: 06.02.2018; Views: 618; Downloads: 36
.doc File (1,60 MB)

3.
Approximate cubic Lie derivations
Ajda Fošner, Maja Fošner, 2013, original scientific article

Abstract: We study the stability and hyperstability of cubic Lie derivations on normed algebras. At the end, we write some additional observations about our results.
Keywords: Lie derivations, normed algebra
Published: 13.06.2017; Views: 764; Downloads: 290
.pdf Full text (1,85 MB)
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4.
An identity with derivations on rings and Banach algebras
Ajda Fošner, Maja Fošner, Joso Vukman, 2008, original scientific article

Abstract: The main purpose of this paper is to study the following: Let m, n, and $k_{i}, i = 1, 2, ..., n$ be positive integers and let $R$ be a $2m(m+ k_{1} + k_{2} + ... + k_{n} -1)!$-torsion free semiprime ring. Suppose that there exist derivations $D_{i} : R \to R, i = 1, 2, ..., n + 1$ , such that $D_{1}(x^{m})x^{k_{1}+...+k_{n}}+x^{k_{1}} D_{2}(x^{m})x^{k_{2}+...+k_{n}}+...+x^{k_{1}+...+k_{n}}D_{n+1}(x^{m})=0$ holds for all $x \in R$. Then we prove that $D_{1}+D_{2}+...+D_{n+1}=0$ and that the derivation $k_{1}D_{2}+(k_{1}+k_{2})D_{3}+...+(k_{1}+k_{2}+...+k{n})D_{n+1}$ maps $R$ into its center. We also obtain a range inclusion result of continuous derivations on Banach algebras.
Keywords: mathematics, algebra, associative rings and algebras, prime rings, Banach algebras, identities, derivations
Published: 31.03.2017; Views: 446; Downloads: 269
.pdf Full text (102,89 KB)
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5.
Matematika 1
Ajda Fošner, 2014, reviewed university, higher education or higher vocational education textbook

Keywords: Matematika, Učbeniki za visoke šole
Published: 30.12.2015; Views: 1055; Downloads: 98
URL Link to full text

6.
Some functional equations on standard operator algebras
Ajda Fošner, Joso Vukman, 2008, original scientific article

Abstract: Naj bo ▫$H$▫ kompleksni Hilbertov prostor, ▫$mathcal{B}(H)$▫ algebra vseh omejenih linearnih operatorjev na ▫$H$▫ ter ▫$mathcal{A}(H)$▫ standardna operatorska algebra, zaprta za adjungiranje. Če je ▫$T: mathcal{A}(H) to mathcal{B}(H)$▫ linearna preslikava, ki zadošča identiteti ▫$T(AA^ast A) = T(A)A^ast A - AT(A^ast)A + AA^ast T(A)$▫ za vsak ▫$A$▫ iz ▫$mathcal{A}(H)$▫, potem je ▫$T(A) = AB + BA$▫ za vsak ▫$A$▫ iz A(H), kjer je ▫$B$▫ operator iz ▫$mathcal{B}(H)$▫.
Keywords: matematika, algebra, kolobar, prakolobar, polprakolobar, Banachov prostor, Hilbertov prostor, standardna operatorska algebra, odvajanje, jordansko odvajanje, bicirkularni projektor, mathematics, algebra, ring, ▫$^ast$▫-ring, prime ring, semiprime ring, Banach space, Hilbert space, standard operator algebra, derivation, Jordan derivation, bicircular projection
Published: 10.07.2015; Views: 650; Downloads: 78
URL Link to full text

7.
Jordan ideals revisited
Matej Brešar, Ajda Fošner, Maja Fošner, 2005, original scientific article

Abstract: Predstavljen je alternativni pristop k študiju jordanskih idealov asociativnih algeber. Vpeljana metoda se da uporabiti tudi pri študiju analognih problemov v graduiranih algebrah.
Keywords: matematika, asociativna algebra, jordanski ideal, ▫$varepsilon$▫-jordanski ideal, graduirane algebre, involucija, mathematics, associative algebra, Jordan ideal, ▫$varepsilon$▫-Jordan ideal, graded algebra, involution
Published: 10.07.2015; Views: 767; Downloads: 9
URL Link to full text

8.
9.
A note on local automorphisms
Ajda Fošner, 2006, original scientific article

Abstract: Let ▫$H$▫ be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of ▫$mathscr{B}(H)$▫, the algebra of all bounded linear operators on a Hilbert space ▫$H$▫, is an automorphism.
Keywords: mathematics, operator theory, automorphism, local automorphism, algebra of operators on a Hilbert space
Published: 07.06.2012; Views: 957; Downloads: 76
URL Link to full text

10.
Zbirka nalog iz vektorskih prostorov
Ajda Fošner, Maja Fošner, 2007, other educational material

Keywords: matematika, vektorski prostori, Banachovi prostori, Hilbertovi prostori, vaje
Published: 07.06.2012; Views: 1928; Downloads: 45
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