(1) Department of Applied Mathematics, Faculty of Science, Science University of Tokyo, 1-3 Kagurazaka, Shinjuku, Tokyo 162, Japan;(2) Department of Mathematics, College of Natural Sciences, Kyungpook National University, Taegu 702-701, Korea;(3) Department of Mathematics, University of North Carolina at Charlotte, UNCC Station Charlotte, NC 28223, USA
Abstract:
In this note we examine the relationships between p-hyponormaloperators and the operator inequality . This leads to a method forgenerating examples of p-hyponormal operators which are not q-hyponormalfor any . Our methods are also shown to have implications for the classof Furuta type inequalities.
. This leads to a method forgenerating examples of p-hyponormal operators which are not q-hyponormalfor any 
. Our methods are also shown to have implications for the classof Furuta type inequalities.