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A Note on -Hyponormal Operators

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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Correspondence to Xiaohuan Wang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Wang, X., Gao, Z. A Note on -Hyponormal Operators. J Inequal Appl 2010, 584642 (2010). https://doi.org/10.1155/2010/584642

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