Journal of Jianghan University(Natural Science Edition) ›› 2018, Vol. 46 ›› Issue (1): 24-26.doi: 10.16389/j.cnki.cn42-1737/n.2018.01.004

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Reverses Ando′s Inequality for Positive Linear Maps

SONG Yuan   

  1. Basic Department，Chuzhou Vacational and Technical College，Chuzhou 239000，Anhui，China
  • Online:2018-02-28 Published:2018-02-03

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Abstract: This paper researched the reverses Ando′s inequality Φ(A)#αΦ(B) ≤K(m,M,α)-1Φ(A#α) B of positive linear maps. At first，the writer obtained the p = 2 power form of the reverses Ando′ s inequality of positive linear maps，and then proved the inequality when 1

2 with the inequality when p =2 .

Key words: positive linear map, operator inequality, Ando′s inequality

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