WorldCat Identities

Fošner, Ajda

Overview
Works: 188 works in 193 publications in 2 languages and 294 library holdings
Roles: Author, Thesis advisor, Other, Editor, Interviewee, Reviewer
Classifications: QA252, 510
Publication Timeline
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Most widely held works by Ajda Fošner
Osnove poslovne matematike by Ajda Fošner( Book )

1 edition published in 2008 in Slovenian and held by 18 WorldCat member libraries worldwide

Poslovna matematika in statistika : osnove matematična analize in linearne algebre by Ajda Fošner( Book )

1 edition published in 2008 in Slovenian and held by 16 WorldCat member libraries worldwide

Algebraični operatorji v neasociativnih praalgebrah by Rok Strašek( Book )

1 edition published in 2008 in Slovenian and held by 14 WorldCat member libraries worldwide

Ohranjevalci na Banachovih algebrah by Ajda Fošner( Book )

2 editions published in 2009 in Slovenian and held by 9 WorldCat member libraries worldwide

Simetrični stožci v evklidskih prostorih by Rok Strašek( Book )

1 edition published in 2010 in Slovenian and held by 7 WorldCat member libraries worldwide

Nekaj rezultatov v teoriji superalgeber by Maja Fošner( Book )

2 editions published in 2011 in Slovenian and held by 6 WorldCat member libraries worldwide

Matematika 1 : univerzitetni učbenik by Ajda Fošner( Book )

2 editions published between 2011 and 2014 in Slovenian and held by 6 WorldCat member libraries worldwide

Matematične metode elektronski učbenik by Maja Fošner( Book )

1 edition published in 2009 in Slovenian and held by 6 WorldCat member libraries worldwide

Ohranjevalci na algebrah : doktorska disertacija by Ajda Fošner( Book )

2 editions published between 2004 and 2005 in Slovenian and held by 4 WorldCat member libraries worldwide

The main goal of the thesis is to present certain linear and non-linear preserver problems on algebras. The opening chapter, where the basic preliminaries on Banach algebras are surveyed, is followed by the chapter which considers linear an additive maps preserving invertibility or singularity and spectrally bounded linear maps. We present the Kaplansy's problem on linear maps that preserve invertibility and some recent positive results concerning this problem. We characterize surjective linear maps on $\mathcal{B}(X)$, the algebra of all bounded linear operators on a Banach space $X$, that are spectrally bounded and spectrally bounded below. We also describe additive singularity preserving almost surjective maps on the algebra of all $n \times n$ over a field with characteristic zero and additive invertibility preserving surjective maps on the algebra of all $n \times n$ matrices over a field with characteristic zero. In the third chapter we study non-linear commutativity preserving maps on $M_n(\mathbb{R})$. Recently Šemrl characterized continuous maps on $M_n(\Cc)$, $n \ge 3$, that are bijective and preserve commutativity in both directions and are not assumed to be linear. The natural question here is whether an analogue holds true for real matrices. We answer this question in the affirmative for $n>3$. We also consider bijective non-linear maps on $M_3(\mathbb{R})$ preserving commutativity in both directions. The fourth chapter considers order preserving maps on the poset of upper triangular idempotent matrices. We obtain the general form of bijective order and orthogonality preserving maps on the poset of all $n \times n$ upper triangular idempotent matrices over an arbitrary field $\mathbb{F}$. We also show that the assumption of surjectivity can be removed if every nonzero homomorphism $g: \mathbb{F} \to \mathbb{F}$ is surjective. In the last chapter we consider local automorphisms of the algebra of all bounded linear operators on an infinite-dimensional separable or almost separable Hilbert space. We prove that every local automorphism is an automorphism in this case
ABSRC 2019 Ljubljana Advances in Business-Related Scientific Research Conference : Conference proceedings : ABSRC 2019 Ljubljana : Ljubljana, Slovenia, November 14, 2019 by Advances in Business-Related Scientific Research Conference( Book )

1 edition published in 2019 in English and held by 3 WorldCat member libraries worldwide

Ohranjevalci obrnljivosti na Banachovih algebrah : magistrsko delo by Ajda Fošner( Book )

1 edition published in 2004 in Slovenian and held by 3 WorldCat member libraries worldwide

V magistrskem delu je predstavljen Kaplanskyjev problem o linearnih preslikavah, ki ohranjajo obrnljivost. Prvi rezultat o tovrstnih preslikavah je že iz leta 1897. Frobenius je pokazal, da so edine enotske bijektivne linearne preslikave na algebri $M_n(C)$ (t.j. algebra n x n matrik nad poljem kompleksnih števil), ki ohranjajo determinante matrik (t.j. za vsako matriko $ T\in M_n(C)$ je $det(T)=det(\phi(T)))$, avtomorfizmi in antiavtomorfizmi, torej oblikec $\phi(T)=A^{-1}TA$ ali $\phi(T)=A^{-1}T^tA$, kjer je $A \in M_n(C)$ obrnljiva matrika in $T^t$ označuje transponirano matriko matrike T. Dieudonne je več kot petdeset let kasneje dokazal, da je vsaka enotska bijektivna linearna preslikava na algebri $M_n(C)$, ki ohranja obrnljivost, avtomorfizem ali antiavtomorfizem. V letih 1967 in 1968 so Gleason, Kahane in Želazko dokazali naslednjo trditev: če je A Banachova algebra in B komutativna polenostavna Banachova algebra ter $\phi : A \to B$ enotska linearna preslikava, ki ohranja obrnljivost, potem je preslikava $\phi$ homomorfizem. Pravzaprav je to razširitev njihovega klasičnega izreka, v katerem je B algebra kompleksnih števil. Ob teh rezultatih se lahko vprašamo, pod katerimi pogoji je enotska linearna preslikava, ki ohranja obrnljivost, jordanski homomorfizem. To vprašanje je zastavil že Kaplansky. Veliko dela v zvezi s problemom je bilo narejenega na področju funkcionalne analize, kjer so matematiki usmerili pozornost na ohranjevalce obrnljivosti med Banachovimi algebrami. V uvodnem poglavju magistrskega dela so predstavljeni osnovni pojmi in primeri iz teorije Banachovih algeber. Sledi poglavje, ki obravnava podstavek polenostavne Banachove algebre in elemente končnega ranga. V tretjem in četrtem poglavju je predstavljenih nekaj novejših pozitivnih rezultatov povezanih s Kaplanskyjevim vprašanjem. Med drugim sta podana dva dokaza izreka, ki pravi, da so izomorfizmi in antiizomorfizmi edine enotske bijektivne linearne preslikave med algebro vseh omejenih linearnih operatorjev na Banachovem prostoru X in algebro vseh omejenih linearnih operatorjev na Banachovem prostoru Y, ki ohranjajo obrnljivost. Prav tako je predstavljen Aupetitov rezultat , da so jordanski izomorfizmi edine surjektivne linearne preslikave med von Neumannovima algebrama, ki ohranjajo spekter. V zadnjem poglavju je podana definicija kapacitete Borelovih podmnožic kompleksne ravnine ter najnunejše definicije in rezultati povezani sfunkcijskim računom holomorfnih funkcij in analitičnimi lastnostmi spektra, ki jih potrebujemo v magistrskem delu. Magistrsko delo vsebuje tudi izvirni rezultat [6]. Aupetit in Mouton sta pokazala, da je vsaka enotska bijektivna linearna preslikava med polenostavnima Banachovima algebrama, katerih podstavek je bistven ideal, ki ohranja obrnljivost v obe smeri, jordanski izomorfizem. Predpostavko o ohranjanju obrnljivosti v obe smeri lahko zamenjamo z milejšo predpostavko, da se obrnljivost ohranja samo v eno smer
Poslovna matematika by Ajda Fošner( Book )

1 edition published in 2019 in Slovenian and held by 3 WorldCat member libraries worldwide

Tehnična in ekonomska optimizacija logističnega sistema( )

1 edition published in 2012 in Slovenian and held by 2 WorldCat member libraries worldwide

Optimizacija in informacijsko podprto modeliranje logističnih procesov : doktorska disertacija by Damijan Koletnik( Book )

1 edition published in 2013 in Slovenian and held by 2 WorldCat member libraries worldwide

<> by Amin Hosseini( )

1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide

ABSRC 2020 conference proceedings : Advances in Business-Related Scientific Research Conference : November 12, 2020 : [online conference] by Advances in Business-Related Scientific Research Conference( )

1 edition published in 2020 in English and held by 2 WorldCat member libraries worldwide

ABSRC is an important international gathering of business and business-related sciences scholars and educators. ABSRC 2020 - organized by GEA COLLEGE - Faculty of Entrepreneurship. Publisher: GEA COLLEGE - Faculty of Entrepreneurship, Dunajska 156, SI-1000 Ljubljana, Slovenia. All submissions were reviewed. Selection for inclusion in the conference program was based upon quality, originality, and relevance, in the judgment of the review process. Contents of papers published as received from the authors. The authors retain their rights to publish their papers elsewhere. All rights reserved
On Generalized Derivations and Centralizers of Operator Algebras with Involution by S Ali( )

1 edition published in 2018 in English and held by 2 WorldCat member libraries worldwide

Zbirka nalog iz matematičnih metod I by Maja Fošner( )

1 edition published in 2010 in Slovenian and held by 2 WorldCat member libraries worldwide

Economics and mathematical theory of games by Ajda Fošner( )

1 edition published in 2012 in English and held by 2 WorldCat member libraries worldwide

The theory of games is a branch of applied mathematics that is used in economics, management, and other social sciences. Moreover, it is used also in military science, political science, international relations, computer science, evolutionary biology, and ecology. It is a field of mathematics in which games are studied. The aim of this article is to present matrix games and the game theory. After the introduction, we will explain the methodology and give some examples. We will show applications of the game theory in economics. We will discuss about advantages and potential disadvantages that may occur in the described techniques. At the end, we will represent the results of our research and its interpretation
Model invencijsko-inovacijskega managementa in gospodarska uspešnost nizko in srednje-nizko tehnoloških podjetij : doktorska disertacija by Marko Ropret( Book )

1 edition published in 2014 in Slovenian and held by 2 WorldCat member libraries worldwide

 
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FoÍner, Ajda

Fošner, A.

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