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Linear operators preserving adjoint matrix between matrix spaces

โœ Scribed by Xiao Min Tang


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
84 KB
Volume
372
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


We characterize the linear operators from the linear space of n ร— n matrices into the linear space of m ร— m matrices over any field F that preserve adjoint matrix, where n 3.


๐Ÿ“œ SIMILAR VOLUMES


Linear preservers between matrix modules
โœ Chong-Guang Cao; Xian Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 252 KB

Let R be a connected commutative ring with identity 1 (R contains no idempotents except 0 and 1), and let M n (R) be the R-module of all n ร— n matrices over R. R is said to be idempotence-diagonalizable if every idempotent matrix over R is similar to a diagonal matrix. For two arbitrary positive int