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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
ISSN: 00243795
Appears in Collections:Staff Publications

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