数学季刊 ›› 2013, Vol. 28 ›› Issue (1): 139-146.

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闭算子Moore-Penrose逆的逆序律

  

  1. 1. School of Mathematical and Physical Sciences, Xuzhou Institute of Technology 2. Department of Mathematics, East China Normal University

  • 收稿日期:2011-10-31 出版日期:2013-03-30 发布日期:2023-03-10
  • 作者简介:DU Fa-peng(1974-), male, native of Xuzhou, Jiangsu, an associate professor of Xuzhou Institute of Technology, Ph.D., engages in functional analysis application and operator algebra.
  • 基金资助:
    Supported by the NNSF of China(10771069)

The Reverse Order Law for Moore-Penrose Inverse of Closed Operators

  1. 1. School of Mathematical and Physical Sciences, Xuzhou Institute of Technology 2. Department of Mathematics, East China Normal University

  • Received:2011-10-31 Online:2013-03-30 Published:2023-03-10
  • About author:DU Fa-peng(1974-), male, native of Xuzhou, Jiangsu, an associate professor of Xuzhou Institute of Technology, Ph.D., engages in functional analysis application and operator algebra.
  • Supported by:
    Supported by the NNSF of China(10771069)

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摘要： In this paper, the reverse order law for the Moore-Penrose inverse of closed linear operators with closed range is investigated by virtue of the Norm-preserving extension of the bounded linear operators. The results generalize some results obtained by S Izumino in [12].

关键词: reverse order law, norm-preserving extension, Moore-Penrose inverse

Abstract: In this paper, the reverse order law for the Moore-Penrose inverse of closed linear operators with closed range is investigated by virtue of the Norm-preserving extension of the bounded linear operators. The results generalize some results obtained by S Izumino in [12].

Key words: reverse order law, norm-preserving extension, Moore-Penrose inverse

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