Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMPOUND-COMMUTING ADDITIVE MAPS ON MATRIX SPACES

  • Received : 2009.04.10
  • Accepted : 2010.05.19
  • Published : 2011.01.01
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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.

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References

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