Hyponormality of Toeplitz operators on the Fock spaces

Abstract

In this paper, we consider the hyponormality of Toeplitz operators T-phi on the Fock spaces F-2. First we characterize the necessary and sufficient conditions for the hyponormality of Toeplitz operators T-phi on F-2 with some symbol phi in the class of functions f + (g) over bar with polynomials f and g. Next, we consider the necessary condition for hyponormality of T-phi with trigonometric polynomial symbol phi.