On hyponormality on the Bergman space of an annulus

Houcine Sadraoui () and Borhen Halouani ()
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Houcine Sadraoui: King Saud University
Borhen Halouani: King Saud University

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 2, 848-858

Abstract: Abstract A bounded operator S on a Hilbert space is hyponormal if $$S^{*}S-SS^{*}$$ S ∗ S - S S ∗ is positive. In this work we find necessary conditions for the hyponormality of the Toeplitz operator $$T_{\varphi +{\overline{\psi }}}$$ T φ + ψ ¯ on the Bergman space of the annulus $$\left\{ 1/2

Keywords: Toeplitz operators; Hyponormal; Positive matrices; Primary 47B35; 47B20; Secondary 15B48; 15B05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00525-9

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