On the multiplication operator on analytic function spaces

Document Type : Regular Paper

Author

Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

Abstract

Let  be a Hilbert space of functions analytic on a plane domain  such that for every  in  the functional of evaluation at  is bounded. Assume further that  contains the constants and admits multiplication by the independent variable , , as a bounded operator. We give sufficient conditions for  to be reflexive for all positive integers .

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Iranian Journal of Science
Volume 37, Issue 4 - Serial Number 4
November and December 2013
Pages 449-452

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