Bijective Additive Singularity or Invertibility Preservers on Hermitian Matrices

Abstract

Let M n be the set of all n x n complex matrices, and H n be all Hermitian matrices in M n .Suppose n  2 ,  is a bijective additive map on H n which maps the set of singular or invertible matrices into itself. Then there exists an invertible matrix P M n and a constant

Authors and Affiliations

Lin Deng, PeiJin Wang, Jin Li Xu

Keywords

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  • EP ID EP431451
  • DOI 10.9790/9622-0812012125.
  • Views 144
  • Downloads 0

How To Cite

Lin Deng, PeiJin Wang, Jin Li Xu (2018). Bijective Additive Singularity or Invertibility Preservers on Hermitian Matrices. International Journal of engineering Research and Applications, 8(12), 21-25. https://europub.co.uk/articles/-A-431451