Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (3): 462-465.

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Further Extension of the Relations between Two Operator Inequalities

  

  1. 1. Department of Mathematics, Tongji University  2. College of Mathematics and Information Science, Henan Normal University 

  • Received:2008-10-25 Online:2011-09-30 Published:2023-04-24
  • About author:GAO Fu-gen(1979-), male, native of Jiyuan, Henan, a lecturer of Henan Normal University, a doctor of Tongji University, engages in the operators function theory and operator algebra; ZUO Hongliang(1976-), male, native of Nanyang, Henan, a professor of Henan Normal University, Ph.D., engages in the operators function theory.
  • Supported by:
    Supported by the Natural Science Foundation of the Department of Education of Henan Province(2011A110009);

Abstract: In this paper, we give out a further extension of the relations between two famous inequalities (Br/2ApBr/2r/(p+r)≥Br and Ap≥(Ap/2BrAp/2) p/(p+r), which can yield the result of Yamazaki and Yanagida’s.

Key words: positive operators, positive invertible operators, polar decomposition

CLC Number: