Hyponormality of Toeplitz operators on the Bergman space of an annulus

• Houcine Sadraoui ^[1] ; Mohammed Guediri ^[1]
  1. [1] King Saud University

     King Saud University

     Arabia Saudí

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 2, 2020, págs. 303-313
• Idioma: inglés
• DOI: 10.33044/revuma.v61n2a08
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• Resumen

  • 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.