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关于算子加权广义逆的反序律
  • ISSN号：0255-7797
  • 期刊名称：数学杂志
  • 时间：2011.3.3
  • 页码：299-306
  • 分类：O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]广西民族大学数学与计算机科学学院,广西南宁530006
  • 相关基金：国家自然科学基金（11061005）; 教育部科技重点项目（210164）
  • 相关项目：Banach空间上算子广义逆$A_{T,S}^{(2)}$的研究
作者： 钟金|刘晓冀|
关键词： 算子, 反序律, 加权广义逆, operators, reverse order laws, weighted generalized inverse
中文摘要：

本文研究了Hilbert空间上两个算子乘积的加权广义逆的反序律.利用算子的分块矩阵表示,获得了两个算子加权广义逆反序律成立的充要条件,所获结果推广了孙文瑜,魏益民和Djordjevic Dragan S.的相关结果.

英文摘要：

In this article,we study the reverse order laws for weighted generalized inverse of the product of two operators on Hilbert spaces.By utilizing the block matrix expressions of operators,the necessary and sufficient conditions for the reverse order laws for weighted generalized inverse are presented,which extend the corresponding results by Sun Wenyu,Wei Yimin and Djordjevic Dragan S..

同期刊论文项目
Banach空间上算子广义逆$A_{T,S}^{(2)}$的研究
期刊论文 37
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Higher-order convergent iterative method for computing the generalized inverse and its application t
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期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
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  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910