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.