• Title/Summary/Keyword: hermitian square

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COMPOUND-COMMUTING ADDITIVE MAPS ON MATRIX SPACES

  • Chooi, Wai Leong
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.83-104
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    • 2011
  • 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.