两个算子不等式之间关系的进一步推广

数学季刊 ›› 2011, Vol. 26 ›› Issue (3): 462-465.

两个算子不等式之间关系的进一步推广

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

收稿日期:2008-10-25 出版日期:2011-09-30 发布日期:2023-04-24
作者简介: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.
基金资助:
Supported by the Natural Science Foundation of the Department of Education of Henan Province(2011A110009)；

Further Extension of the Relations between Two Operator Inequalities

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)；

摘要/Abstract

摘要： In this paper, we give out a further extension of the relations between two famous inequalities (B^r/2A^pB^r/2) ^r/(p+r)≥B^r and A^p≥(A^p/2B^rA^{p/2) p/(p+r)}, which can yield the result of Yamazaki and Yanagida’s.

关键词: positive operators, positive invertible operators, polar decomposition

Abstract: In this paper, we give out a further extension of the relations between two famous inequalities (B^r/2A^pB^r/2) ^r/(p+r)≥B^r and A^p≥(A^p/2B^rA^{p/2) p/(p+r)}, which can yield the result of Yamazaki and Yanagida’s.

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

中图分类号:

O177.1

高福根, 左红亮. 两个算子不等式之间关系的进一步推广[J]. 数学季刊, 2011, 26(3): 462-465.

GAO Fu-gen, ZUO Hong-liang. Further Extension of the Relations between Two Operator Inequalities[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 462-465.

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