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RUP
FAMNIT - Faculty of Mathematics, Science and Information Technologies
FHŠ - Faculty of Humanities
FM - Faculty of Management
FTŠ Turistica - Turistica – College of Tourism Portorož
FVZ - Faculty of Health Sciences
IAM - Andrej Marušič Institute
PEF - Faculty of Education
UPR - University of Primorska
ZUP - University of Primorska Press
COBISS
University of Primorska, University Library - all departments
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Title:
General preservers of quasi-commutativity on hermitian matrices
Authors:
ID
Dolinar, Gregor
(Author)
ID
Kuzma, Bojan
(Author)
Files:
http://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol17_pp236-244.pdf
Language:
English
Work type:
Not categorized
Typology:
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
PID:
20.500.12556/RUP-7715
ISSN:
1081-3810
UDC:
512.643
COBISS.SI-ID:
14929753
Publication date in RUP:
02.04.2017
Views:
2680
Downloads:
262
Metadata:
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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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