Hyponormality of Toeplitz operators on the Bergman space of an annulus

Authors

  • Houcine Sadraoui Mathematics Department, King Saud University, Riyadh, Saudi Arabia
  • Mohamed Guediri Mathematics Department, King Saud University, Riyadh, Saudi Arabia

DOI:

https://doi.org/10.33044/revuma.v61n2a08

Abstract

 A bounded operator $S$ on a Hilbert space is hyponormal if $S^{\ast}S-SS^{\ast}$ is positive. In this work we find necessary conditions for the hyponormality of the Toeplitz operator $T_{f+\overline{g}}$ 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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Published

2020-11-20

Issue

Vol. 61 No. 2 (2020)

Section

Article

License

Copyright (c) 2024 Houcine Sadraoui, Mohamed Guediri

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