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A Note on -Potence Preservers on Matrix Spaces over Complex Field

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  • Xiaofei Song
  • Chongguang Cao
  • Baodong Zheng

Abstract

Let be the field of all complex numbers, the space of all matrices over , and the subspace of consisting of all symmetric matrices. The map satisfies that is -potent in implying that is -potent in , where then there exist an invertible matrix and with such that for every . Moreover, the inductive method used in this paper can be used to characterise similar maps from to .

Suggested Citation

  • Xiaofei Song & Chongguang Cao & Baodong Zheng, 2013. "A Note on -Potence Preservers on Matrix Spaces over Complex Field," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, June.
    • Handle: RePEc:hin:jnlaaa:581683
    DOI: 10.1155/2013/581683
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