Acta mathematica scientia,Series B

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POWERS OF AN INVERTIBLE (s,p)-w-HYPONORMAL OPERATOR

Li Haiying   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
    College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2005-12-14 Revised:2006-08-28 Online:2008-04-20 Published:2008-04-20
  • Contact: Li Haiying

Abstract:

It is known that the square of a w-hyponormal operator is also w-hyponormal. For any 00, 0characterization of (s,p)-w-hyponormal operators; the author shows that all
integer powers of special (s,p)-w-hyponormal operators are (s,p)-w-hyponormal.

Key words: Furuta inequality, Lowner-Heinz inequality, p-w-hyponormal, (s,p)-w-hyponormal

CLC Number: 

  • 47B20
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