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Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products

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  • Li Yang
  • Wei Zhang
  • Jinli Xu

Abstract

Suppose are positive integers. Let be the space of all complex upper triangular matrices, and let be an injective linear map on . Then is an idempotent matrix in whenever is an idempotent matrix in if and only if there exists an invertible matrix such that , or when , , where or and or

Suggested Citation

  • Li Yang & Wei Zhang & Jinli Xu, 2014. "Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
  • Handle: RePEc:hin:jnlaaa:148321
    DOI: 10.1155/2014/148321
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