Hyponormality of the sum of two Toeplitz operators

Abstract

In this paper, we have studied the hyponormality and invertibility of the operator of type $w{T}_{\ddot{I}}†+T_{\ddot{I}}ˆ$ where $w$ is any non-zero complex number and $T_{\ddot{I}}†,T_{\ddot{I}}ˆ$ are Toeplitz operators. We have also studied hyponormality when the symbol of Toeplitz operator is a linear functional.