J4 ›› 2011, Vol. 46 ›› Issue (4): 82-85.

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Reverse order laws for generalized inverse in C*-algebras

WU Shu-xia, LIU Xiao-ji*   

  1. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China
  • Received:2010-11-15 Published:2011-04-21

Abstract:

The equivalent statements of the reverse order laws are investigated for {1,3},{1,2,3}-inverse and {1,4},{1,2,4} in C*-algebras. Then the equivalent statements of the reverse order law for Moore-Penrose inverse is given.

Key words: C*-algebras; Moore-Penrose inverse; reverse order law

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