Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1071-1076.

• Articles • Previous Articles     Next Articles

A Note on the Generalized Bott-Duffin Inverse of Linear Operators

 DU Hong-Ke1,2, SHAO Chun-Fang1,2*, XU Jun-Lian1, JI Shu-Feng1   

  1. 1.College of Mathematics and Information Science, Shaanxi Normal University, |Xi'an 710062;
    2.Department of Mathematics, Ankang University, Shaanxi Ankang 725000
  • Received:2008-08-17 Revised:2010-07-28 Online:2011-08-25 Published:2011-08-25
  • Contact: SHAO Chun-Fang E-mail:scfwzy@yahoo.com.cn
  • Supported by:

    国家自然科学基金(10871224)资助

Abstract:

In this note, two theorems involving generalized Bott-Duffin inverses of bounded linear operators on a Hilbert space are proved, which are generalizations of that obtained in a finite dimensional space by Deng and Chen[7]. It is worthwhile to point out that the idea and the method used in this note are different from those used by  Deng and Chen.

Key words: Generalized inverse, Bott-Duffin inverse, Operator matrix, Idempotent

CLC Number: 

  • 47A05
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