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Journal of Inequalities and Applications
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A Note on -Hyponormal Operators

Journal of Inequalities and Applications volume 2010, Article number: 584642 (2010) Cite this article

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 and Affiliations

  1. LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, 100191, China

    Xiaohuan Wang

  2. LMIB and Department of Mathematics, Beihang University, Beijing, 100191, China

    Zongsheng Gao

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  1. Xiaohuan Wang
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  2. Zongsheng Gao
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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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  • DOI: https://doi.org/10.1155/2010/584642

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