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COMPOUND-COMMUTING ADDITIVE MAPS ON MATRIX SPACES
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 Title & Authors
COMPOUND-COMMUTING ADDITIVE MAPS ON MATRIX SPACES
Chooi, Wai Leong;
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 Abstract
In this note, compound-commuting additive maps on matrix spaces are studied. We show that compound-commuting additive maps send rank one matrices to matrices of rank less than or equal to one. By using the structural results of rank-one nonincreasing additive maps, we characterize compound-commuting additive maps on four types of matrices: triangular matrices, square matrices, symmetric matrices and Hermitian matrices.
 Keywords
rank;compound matrix;compound-commuting additive map;rank-one nonincreasing additive map;
 Language
English
 Cited by
 References
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