J4 ›› 2012, Vol. 47 ›› Issue (4): 89-93.

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The representations of the Drazin inverse of differences of two elemen ts in Banach algebra

ZHANG Miao1, LIU Xiao-ji1,2   

  1. 1. School  Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China;
    2. Guangxi Key Laboratory of Hybrid Computational and IC Design Analysis, Nanning 530006, Guangxi, China
  • Received:2011-09-23 Online:2012-04-20 Published:2012-06-28

Abstract:

By using the block matrix forms of the elements in Banach algebra, expressions of the Drazin inverse of difference of two elements are given. And then the related results  are extended.

Key words: Drazin inverse; Banach algebra; nilpotent

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