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Some generalized theorems onp-hyponormal operators

Authors:	Ariyadasa Aluthge

Affiliation:	(1) Department of Mathematics, Marshall University, 25755 Huntington, West Virginia, U.S.A.

Abstract:	A bounded linear operatorT is calledp-Hyponormal if (T^T)^p(TT^)^p, 0<p1. In Aluthge [1], we studied the properties of p-hyponormal operators using the operator $tilde T = \|T\|^{{1 mathord{left/ {vphantom {1 2}} right. kern-nulldelimiterspace} 2}} U\|T\|^{{1 mathord{left/ {vphantom {1 2}} right. kern-nulldelimiterspace} 2}}$ . In this work we consider a more general operator $T_ in = \|T\|^ in U\|T\|^{1 - in } , 0< in leqslant 1/2$ , and generalize some properties of p-hyponormal operators obtained in [1].

Keywords:	Primary 47B20
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