Abstract
In this paper, we study the hyponormal Toeplitz operators $$T_{\varphi }$$ , where $$\varphi $$ is a trigonometric polynomial symbol with finite degree. We present necessary and sufficient conditions for the hyponormality of $$T_{\varphi }$$ under some assumptions about the coefficients of $$\varphi $$ . Next, we find the necessary condition for hyponormality of $$T_{\varphi }$$ .
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