On Hyponormality on the Bergman Space of an Annulus

Journal Article

2023

Published in: https://link.springer.com/article/10.1007/s13226-023-00525-9

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 Tφ+ψ¯ on the Bergman space of the annulus {1/2<|z|<1} where both φ and ψ are bounded and analytic on the annulus and are of the form ∑n≥1anzn+bn1zn.

• Publisher Name: Springer
• Magazine \ Newspaper: Indian Journal of Pure and Applied Mathematics