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1.
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: ...mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity...
Keywords: mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Published: 03.04.2017; Views: 682; Downloads: 101
URL Full text (0,00 KB)
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2.
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: ...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: 700; Downloads: 41
URL Full text (0,00 KB)

3.
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: ...mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity...
Keywords: mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity
Published: 03.04.2017; Views: 541; Downloads: 43
URL Full text (0,00 KB)

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