Journal of East China Normal University(Natural Sc ›› 2006, Vol. 2006 ›› Issue (1): 45-51.

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A Characterization of the [[alpha]]-[[beta]] Generalized Inverse and Its Reverse Law(Chinese)

DENG Bin, CHEN Guo-liang   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2003-12-24 Revised:2004-03-24 Online:2006-01-25 Published:2006-01-25
  • Contact: DENG Bin

Abstract: This paper deals with the case when the α-βgeneralized inverse A(-1)α-β is a linear transformation, in which case we established the characterization of the α-β generalized inverse, and we also give several sufficient conditions that the reverse law holds.

Key words: [[alpha]]-[[beta]] generalized inverse, characterization, the reverse law, essentially strictly convex norms, [[alpha]]-[[beta]] generalized inverse, characterization, the reverse law

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