Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 47481, 7 pages

The Fuglede-Putnam theorem for (p,k)-quasihyponormal operators

In Hyoun Kim

Department of Mathematics, Seoul National University, Seoul 151-747, Korea

Received 8 September 2004; Accepted 19 September 2004

Copyright © 2006 In Hyoun Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We show that if T() is a (p,k)-quasihyponormal operator and S(𝒦) is a p-hyponormal operator, and if TX=XS, where X:𝒦 is a quasiaffinity (i.e., a one-one map having dense range), then T is a normal and moreover T is unitarily equivalent to S.