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Resumen de Hyponormality of Toeplitz operators on the Bergman space of an annulus

Houcine Sadraoui, Mohammed Guediri

  • A bounded operator S on a Hilbert space is hyponormal if S∗S −SS∗ is positive. In this work we find necessary conditions for the hyponormality of the Toeplitz operator Tf+g on the Bergman space of the annulus {1/2 < |z| < 1}, where f and g are analytic and f satisfies a smoothness condition.


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