Print
Lupa

Show document Help

A- | A+ | Print
Title:General preservers of quasi-commutativity
Authors:ID Dolinar, Gregor (Author)
ID Kuzma, Bojan (Author)
Files:URL http://dx.doi.org/10.4153/CJM-2010-041-x
 
Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
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.
Keywords:mathematics, linear algebra, general preserver, matrix algebra, quasi-commutativity
Year of publishing:2010
Number of pages:str. 758-786
Numbering:Vol. 62, no. 4
PID:20.500.12556/RUP-7732 This link opens in a new window
ISSN:0008-414X
UDC:512.643
COBISS.SI-ID:15627353 This link opens in a new window
Publication date in RUP:03.04.2017
Views:2256
Downloads:79
Metadata:XML RDF-CHPDL DC-XML DC-RDF
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share


Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Secondary language

Language:Slovenian
Title:Splošni ohranjevalci kvazi-komutativnosti
Abstract:Naj bo ▫$M_n$▫ algebra vseh ▫$n \times n$▫ matrik nad obsegom ▫$\mathbb{C}$▫. Pravimo, da matriki ▫$A, B \in M_n$▫ kvazi-komutirata, če obstaja tak neničelni skalar ▫$\xi \in \mathbb{C}$▫, da je ▫$AB = \xi BA$▫. V članku klasificiramo bijektivne ne nujno linearne preslikave iz ▫$M_n$▫ v ▫$M_n$▫, ki ohranjajo kvazi-komutativnost v obeh smereh.
Keywords:matematika, linearna algebra, splošni ohranjevalci, matrična algebra, kvazi-komutativnost


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica