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1.
Jordan triple product homomorphisms
Bojan Kuzma, 2006, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...mathematics, linear algebra, matrix algebra, Jordan triple product, nonlinear...
Keywords: mathematics, linear algebra, matrix algebra, Jordan triple product, nonlinear preserver
Published: 15.10.2013; Views: 1634; Downloads: 66
URL Full text (0,00 KB)

2.
Noninvertibility preservers on Banach algebras
Bojan Kuzma, 2006, short scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...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...
Keywords: mathematics, functional analysis, linear preserver, noninvertible element, semisimple Banach algebra, socle
Published: 15.10.2013; Views: 1257; Downloads: 53
URL Full text (0,00 KB)

3.
General preservers of quasi-commutativity on hermitian matrices
Bojan Kuzma, Gregor Dolinar, 2008, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...▫$AB = \xi BA$▫ Bijective not necessarily linear maps on hermitian matrices which preserve quasi-commutativity... ...mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity...
Keywords: mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Published: 03.04.2017; Views: 664; Downloads: 97
URL Full text (0,00 KB)
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4.
Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(2[sup]2)
Marko Orel, Bojan Kuzma, 2009, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois...
Keywords: mathematics, linear algebra, additive preserver, hermitian matrices, rank, Galois field, weak homomorphism of a graph
Published: 03.04.2017; Views: 746; Downloads: 26
URL Full text (0,00 KB)
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5.
General preservers of quasi-commutativity on self-adjoint operators
Bojan Kuzma, Gregor Dolinar, 2010, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...${\mathcal B}_{sa}(H)▫$ the set of all bounded linear self-adjoint operators. We say that ▫$A, B... ...mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativity...
Keywords: mathematics, linear algebra, general preserver, self-adjoint operator, quasi-commutativity
Published: 03.04.2017; Views: 684; Downloads: 40
URL Full text (0,00 KB)

6.
General preservers of quasi-commutativity
Bojan Kuzma, Gregor Dolinar, 2010, original scientific article

Abstract: 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.
Found in: ključnih besedah
Summary of found: ...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...
Keywords: mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity
Published: 03.04.2017; Views: 527; Downloads: 38
URL Full text (0,00 KB)

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