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|Title:||Linear preservers on matrices|
|Authors:||Chan, G.-H. |
|Source:||Chan, G.-H.,Lim, M.-H.,Tan, K.-K. (1987-08). Linear preservers on matrices. Linear Algebra and Its Applications 93 (C) : 67-80. ScholarBank@NUS Repository.|
|Abstract:||Let U denote either the vector space of n×n matrices or the vector space of n×n symmetric matrices over an infinite field F. In this paper we characterize linear mappings L on U that satisfy one of the following properties: (i) L(adjA)=adjL(A) for all A in U; (ii) L preserves idempotent matrices, and L(In)=In, where F is the real field R or the complex field C; (iii) L(eA)=eL(A) for all A in U, where F=R or C. © 1987.|
|Source Title:||Linear Algebra and Its Applications|
|Appears in Collections:||Staff Publications|
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