Journal of East China Normal University(Natural Sc ›› 2009, Vol. 2009 ›› Issue (4): 21-25.

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Revised norm-preserving extension theorem

FANG Mao-zhong{1,2}   

  1. 1. {\it School of Mathematics and Information, Shanghai Lixin University of Commerce,}} \DWEI{{\it Shanghai}\quad 201620, {\it China};\quad 2. {\it Department of Mathematics, East China Normal }} \DWEI{ {\it University, Shanghai}\quad 200062
  • Received:2008-07-30 Revised:2008-12-06 Online:2009-07-25 Published:2009-07-25
  • Contact: FANG Mao-zhong

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Abstract: In this paper, the generalized inverse form solution of Davis, Kahan and
Weinberger’s norm-preserving extension theorem was given. Consequently, Zheng’s result
(1996) was proved in a more simple way.

Key words: spectral norm, generalized inverse , Kahan’s matrix extension theorem, spectral norm, generalized inverse