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https://scholarbank.nus.edu.sg/handle/10635/103497
Title: | Linear preservers on matrices | Authors: | Chan, G.-H. Lim, M.-H. Tan, K.-K. |
Issue Date: | Aug-1987 | Citation: | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103497 | ISSN: | 00243795 |
Appears in Collections: | Staff Publications |
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