Opuscula Math. 27, no. 1 (2007), 73-81
On quasi-similarity and ω-hyponormal operators
Mourice Ouma Otieno
Abstract.
In this paper, it is shown that a Putnam-Fuglede type commutativity theorem holds for \(\omega\)-hyponormal operators, the normal parts of quasi-similar \(\omega\)-hyponormal operators are unitarily equivalent and a \(\omega\)-hyponormal spectral operator is normal.
Keywords:
\(\omega\)-hyponormal operators, quasi-similarity.
Mathematics Subject Classification:
47B20.
About the authors ▼
Mourice Ouma Otieno
University of Nairobi, School of Mathematics, P.O. Box 30197, Nairobi, Kenya
About the article ▼
Received: 2006-03-28.
Cite this article as ▼
Mourice Ouma Otieno, On quasi-similarity and ω-hyponormal operators, Opuscula Math. 27, no. 1 (2007), 73-81,
http://dx.doi.org/10.7494/OpMath.2007.27.1.73.
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