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: 26 May 2010

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.

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Authors’ Affiliations

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

Copyright

© X. Wang and Z. Gao. 2010

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.