Hyponormality on a Weighted Bergman Space
Copyright policy )Hyponormality on a Weighted Bergman Space
A bounded Hilbert space operatorTis hyponormal ifT∗T−TT∗is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space. We find a necessary condition for hyponormality in the case of a symbol of the formf+g¯wherefandgare bounded analytic functions on the unit disk. We then find sufficient conditions whenfis a monomial.
- King Saud University Saudi Arabia
Bergman spaces and Fock spaces, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Subnormal operators, hyponormal operators, etc., Mathematics, hyponormality, Toeplitz operators, weighted Bergman space
Bergman spaces and Fock spaces, QA1-939, Toeplitz operators, Hankel operators, Wiener-Hopf operators, Subnormal operators, hyponormal operators, etc., Mathematics, hyponormality, Toeplitz operators, weighted Bergman space
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