Journal of Inequalities and Applications
Volume 3 (1999), Issue 3, Pages 279-284
doi:10.1155/S1025583499000181

Powers of p-Hyponormal operators

Ariyadasa Aluthge1 and Derming Wang2

1Department of Mathematics, Marshall University, Huntington 25755-2560, WV, USA
2Department of Mathematics, California State University, Long Beach 90840-1001, CA, USA

Received 20 November 1997; Revised 9 July 1998

Copyright © 1999 Ariyadasa Aluthge and Derming Wang. 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.

Abstract

Applying Furuta’s and Hansen’s inequalities, it is shown that if T is a p-hyponormal operator, then Tn is (p/n)-hyponormal. Applications are obtained.