On p -quasihyponormal operators and quasisimilarity

Abstract

In this paper we show some structural properties of a p -quasihyponormal operator via Löwner-Heinz inequality and Hansen inequality. As important applications, it is shown that the normal parts of quasisimilar injective p -quasihyponormal operators are unitarily equivalent and quasisimilar injective p -quasihyponormal operators have same spectra and essential spectra.