Hilbert空间上算子的Sharp序

J4 ›› 2010, Vol. 45 ›› Issue (4): 82-85.

Hilbert空间上算子的Sharp序

钟金, 刘晓冀*

广西民族大学数学与计算机科学学院, 广西南宁 530006

收稿日期:2009-01-18 出版日期:2010-04-10 发布日期:2010-05-19
通讯作者: 刘晓冀(1972-), 男, 博士, 教授，研究方向为算子的广义逆.
作者简介:钟金(1984-), 男, 硕士研究生, 研究方向为算子的广义逆. Email: jay84.happy@163.com
基金资助:
广西壮族自治区自然科学基金资助项目 (0640016)

On the sharp ordering for Hilbert space operators

ZHONG Jin, LIU Xiao-ji*

Department of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China

Received:2009-01-18 Online:2010-04-10 Published:2010-05-19

摘要/Abstract

摘要：

定义了Hilbert空间上两个线性算子间的Sharp序关系,给出Sharp序的一些性质及等价刻画,得到两个算子乘积反序律成立的条件,并讨论两个算子扰动后仍保持Sharp序的条件。

关键词: 算子;Sharp序;广义逆;偏序

Abstract:

The sharp ordering for Hilbert space operators is defined. Some properties and equivalent characterizations are established. Also, the condition for the reverse order law of two operators is obtained and the condition for sharp ordering under perturbation remains hold is discussed.

Key words: operators; sharp ordering; generalized inverse; partial ordering

钟金, 刘晓冀*. Hilbert空间上算子的Sharp序[J]. J4, 2010, 45(4): 82-85.

ZHONG Jin, LIU Xiao-ji*. On the sharp ordering for Hilbert space operators[J]. J4, 2010, 45(4): 82-85.

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