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1.
Jordan triple product homomorphisms
Bojan Kuzma, 2006, izvirni znanstveni članek

Opis: Nondegenerate mappings that preserve Jordan triple product on ▫${\mathscr{M}}_n({\mathbb{F}}$▫ are characterized. Here, ▫$n \ge 3$▫ and ▫$\mathbb{F}$▫ is an arbitrary field.
Najdeno v: ključnih besedah
Povzetek najdenega: ...mathematics, linear algebra, matrix algebra, Jordan triple product, nonlinear...
Ključne besede: mathematics, linear algebra, matrix algebra, Jordan triple product, nonlinear preserver
Objavljeno: 15.10.2013; Ogledov: 1594; Prenosov: 53
URL Polno besedilo (0,00 KB)

2.
Noninvertibility preservers on Banach algebras
Bojan Kuzma, 2006, kratki znanstveni prispevek

Opis: It is proved that a linear surjection ▫$\Phi: \mathcal{A} \to \mathcal{B}$▫, which preserves noninvertibility between semisimple, unital, complex Banach algebras, is automatically injective.
Najdeno v: ključnih besedah
Povzetek najdenega: ...It is proved that a linear surjection ▫$\Phi: \mathcal{A} \to \mathcal{B}$▫, which preserves... ...mathematics, functional analysis, linear preserver, noninvertible element, semisimple Banach algebra, socle...
Ključne besede: mathematics, functional analysis, linear preserver, noninvertible element, semisimple Banach algebra, socle
Objavljeno: 15.10.2013; Ogledov: 1221; Prenosov: 40
URL Polno besedilo (0,00 KB)

3.
General preservers of quasi-commutativity on hermitian matrices
Bojan Kuzma, Gregor Dolinar, 2008, izvirni znanstveni članek

Opis: Let ▫$H_n$▫ be the set of all ▫$n \times n$▫ hermitian matrices over ▫$\mathbb{C}$▫, ▫$n \ge 3$▫. It is said that ▫$A,B \in H_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫ Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity in both directions are classified.
Najdeno v: ključnih besedah
Povzetek najdenega: ...▫$AB = \xi BA$▫ Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity... ...mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity...
Ključne besede: mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Objavljeno: 03.04.2017; Ogledov: 611; Prenosov: 67
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

4.
Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)
Marko Orel, Bojan Kuzma, 2009, izvirni znanstveni članek

Opis: A complete classification of additive rank-one nonincreasing maps on hermitian matrices over Galois field ▫$GF(2^2)$▫ is obtained. This field is special and was not covered in a previous paper. As a consequence, some known applications, like the classification of additive rank-additivity preserving maps, are extended to arbitrary fields. An application concerning the preservers of hermitian varieties is also presented.
Najdeno v: ključnih besedah
Povzetek najdenega: ...mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois...
Ključne besede: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Objavljeno: 03.04.2017; Ogledov: 714; Prenosov: 25
URL Polno besedilo (0,00 KB)
Gradivo ima več datotek! Več...

5.
General preservers of quasi-commutativity on self-adjoint operators
Bojan Kuzma, Gregor Dolinar, 2010, izvirni znanstveni članek

Opis: Let ▫$H$▫ be a separable Hilbert space and▫ ${\mathcal B}_{sa}(H)▫$ the set of all bounded linear self-adjoint operators. We say that ▫$A, B \in {\mathcal B}_{sa}(H)$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ suchthat ▫$AB=\xi BA$▫. Bijective maps on ▫${\mathcal B}_{sa}(H)$▫ which preserve quasi-commutativity in both directions are classified.
Najdeno v: ključnih besedah
Povzetek najdenega: ...${\mathcal B}_{sa}(H)▫$ the set of all bounded linear self-adjoint operators. We say that ▫$A, B... ...mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativity...
Ključne besede: mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativity
Objavljeno: 03.04.2017; Ogledov: 646; Prenosov: 26
URL Polno besedilo (0,00 KB)

6.
General preservers of quasi-commutativity
Bojan Kuzma, Gregor Dolinar, 2010, izvirni znanstveni članek

Opis: Let ▫$M_n$▫ be the algebra of all ▫$n \times n$▫ matrices over ▫$\mathbb{C}$▫. We say that ▫$A, B \in M_n$▫ quasi-commute if there exists a nonzero ▫$\xi \in \mathbb{C}$▫ such that ▫$AB = \xi BA$▫. In the paper we classify bijective not necessarily linear maps ▫$\Phi \colon M_n \to M_n$▫ which preserve quasi-commutativity in both directions.
Najdeno v: ključnih besedah
Povzetek najdenega: ...the paper we classify bijective not necessarily linear maps ▫$\Phi \colon M_n \to M_n$▫ which... ...mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity...
Ključne besede: mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity
Objavljeno: 03.04.2017; Ogledov: 492; Prenosov: 24
URL Polno besedilo (0,00 KB)

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