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Hyponormality on General Bergman Spaces
Journal article   Open access  Peer reviewed

Hyponormality on General Bergman Spaces

Houcine Sadraoui
Filomat, Vol.33(17), pp.5737-5741
01/01/2019

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A bounded operator T on a Hilbert space is hyponormal if T*T - T*T is positive. We give a necessary condition for the hyponormality of Toeplitz operators on weighted Bergman spaces, for a certain class of radial weights, when the symbol is of the form f + (g) over bar, where both functions are analytic and bounded on the unit disk. We give a sufficient condition when f is a monomial.
url
https://doi.org/10.2298/FIL1917737SView
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