On quasisimilarity for log-hyponormal operators

Abstract

In this paper we show that the normal parts of quasisimilar loghyponormal operators are unitarily equivalent. A Fuglede-Putnam type theorem for log-hyponormal operators is proved. Also, it is shown that a log-hyponormal operator that is quasisimilar to an isometry is unitary and that a log-hyponormal spectral operator is normal.