International Journal of Functional Analysis, Operator Theory and Applications
Volume 3, Issue 2, Pages 129 - 153
(December 2011)
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THE SIMILARITY AND COMMUTANT OF ANALYTIC TOEPLITZ OPERATORS ON WEIGHTED BERGMAN SPACE
Yucheng Li
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Abstract:
Let D be the unit disk and  be the weighted Bergman space. In this paper, by constructing an orthonormal basis of  we prove that the analytic Toeplitz operator  is similar to  on  if and only if  has the form   Then, using the skills of matrix and operator theory techniques, we characterize the commutant of  |
| Keywords and phrases: weighted Bergman space, analytic Toeplitz operators, similarity, invariant subspace, commutant. |
| Communicated by Xiaochun Fang |
| Number of Downloads: 231 | Number of Views: 701 |
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