Polaroid and p-*-paranormal operators

Abstract

In this paper we define the p-*-paranormal operators and we show some properties of this class of operators. We also prove that a p-*-paranormal operator is polaroid and we show a necessary and sufficient condition for the Riesz idempotent associated to a non-zero isolated point of the spectrum of a p-*-paranormal operator to be self-adjoint. Finally, we show that generalized a-Weyl's theorem holds for p-*- paranormal operators and we present some finite operators.