Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 135-139.

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A Note of logA≥logB

  

  1. College of Mathematics and Information Science Henan Normal University,College of Mathematics and Information Science,Henan Normal University,,Xinxiang 453007,China,Xinxiang 453007,China
  • Received:2005-12-26 Online:2008-03-30 Published:2023-10-17
  • About author: GAO Fu-gen(1979 -), male, native of Jiyuan, Henan, a lecturer of Henan Normal University, M.S.D., engages in the operators function theory; YANG chang-sen(1965-), male, native of Yanjin, Henan, a professor of Henan Normal University, Ph.D., engages in the operators function theory.
  • Supported by:
    Supported by the Education Foundation of Henan Province(2003110006)

Abstract: In this paper,firstly we shall show some equivalent conditions of A>B>0; secondly by using the results of ours we shah show some characterizations of the chaotic order(i.e.,logA≥log B) by norm inequalities.

Key words: chaotic order, positive invertible operators, Furuta inequality

CLC Number: