On Hyponormality on the Bergman Space of an Annulus
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.
We show that the q-Bergman space with the Duhamel product has a
Banach algebra structure and describe its nontrivial closed ideals. Moreover, we discuss
Katznelson–Tzafriri type…
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…
In this work we consider Toeplitz operators and composition operators on the q-Bergman space.We give some spectral properties of Toeplitz operators in general and a sufficient condition…