关于logA≥logB的一个注记

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 135-139.

关于logA≥logB的一个注记

College of Mathematics and Information Science Henan Normal University,College of Mathematics and Information Science,Henan Normal University,,Xinxiang 453007,China,Xinxiang 453007,China

收稿日期:2005-12-26 出版日期:2008-03-30 发布日期:2023-10-17
作者简介: 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.
基金资助:
Supported by the Education Foundation of Henan Province(2003110006)

A Note of logA≥logB

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)

摘要/Abstract

摘要： 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.

关键词: chaotic order, positive invertible operators, Furuta inequality

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

中图分类号:

O177.1

高福根, 杨长森. 关于logA≥logB的一个注记[J]. 数学季刊, 2008, 23(1): 135-139.

GAO Fu-gen, YANG Chang-sen. A Note of logA≥logB[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 135-139.

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