A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators

Abstract

Let be a -hyponormal operator with the polar decomposition . In this paper, we show the following: (1) If is normal, then is normal. (2) If , then is also -hyponormal. (3) There exists a -hyponormal operator such that and .

Keywords

• <it>w</it>-hyponormal operator
• <it>p</it>-hyponormal operator
• Furuta inequality