Opuscula Math. 27, no. 1 (2007), 73-81

Opuscula Mathematica

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.

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Mourice Ouma Otieno, On quasi-similarity and ω-hyponormal operators, Opuscula Math. 27, no. 1 (2007), 73-81

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