On the multiplication operator on analytic function spaces

Author(s):

Kh. Jahedi*

Message:
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.
Keywords:

Hilbert spaces of analytic functions , multiplication operators , reflexive operator , multipliers , Caratheodory hull , bounded point evaluation , spectral set

Language:
English
Published:
Iranian Journal of science and Technology (A: Siences), Volume:37 Issue: 4, Autumn 2013
Pages:
449 to 452
https://www.magiran.com/p1213317