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Title:General preservers of quasi-commutativity on hermitian matrices
Authors:Kuzma, Bojan (Author)
Dolinar, Gregor (Author)
Files:URL http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol17_pp236-244.pdf
 
Language:English
Work type:Not categorized
Tipology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
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.
Keywords:mathematics, linear algebra, general preserver, hermitian matrices, quasi-commutativity
Year of publishing:2008
Number of pages:str. 436-444
Numbering:Vol. 17
ISSN:1081-3810
UDC:512.643
COBISS_ID:14929753 Link is opened in a new window
Views:680
Downloads:101
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Secondary language

Language:Slovenian
Title:Splošni ohranjevalci kvazikomutativnosti na hermitskih matrikah
Abstract:Naj bo ▫$H_n$▫ množica vseh ▫$n \times n$▫ hermitskih matrik nad ▫$\mathbb{C}$▫, ▫$n \ge 3$▫. Pravimo, da ▫$A,B \in H_n$▫ kvazikomutirata, če obstaja tak neničelni skalar ▫$\xi \in \mathbb{C}$▫, da je ▫$AB = \xi BA$▫. V članku so karakterizirane bijektivne, ne nujno linearne, preslikave na hermitskih matrikah, ki ohranjajo kvazikomutativnost v obeh smereh.
Keywords:matematika, linearna algebra, splošni ohranjevalci, hermitske matrike, kvazikomutativnost

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