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  • Research Article
  • Open Access

A Note on -Hyponormal Operators

Journal of Inequalities and Applications20102010:584642

https://doi.org/10.1155/2010/584642

  • Received: 20 January 2010
  • Accepted: 22 April 2010
  • Published:

Abstract

We study -normal operators and -hyponormal operators. We show the inclusion relation between these classes under various hypotheses for and . We also obtain some sufficient conditions for Aluthge transform and of -hyponormal operators still to be -hyponormal.

Keywords

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Publisher note

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Authors’ Affiliations

(1)
LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, 100191, China
(2)
LMIB and Department of Mathematics, Beihang University, Beijing, 100191, China

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