A Model for Some Class of Operators

Abstract

Abstract. In this paper, a model for the class F of pure operators A on a Hilbert space H satisfyingis established. A formula for the Pincus principal function of the semi-normal operators in F is given. Especially, the model for the pure hyponormal operators with rank one self-commutators and with rotational invariant Pincus principal functions is studied.Mathematics subject classification (2010). Primary 47B20.