Reflexivity on Some Function Spaces∗

Bahmann Yousefi

Abstract


We give sufficient conditions on a domain Ω so that the associated canonical model is reflexive. Also, we discuss a class of shifts that are reflexive, and the operator Mz of multiplication by z on a Banach space of functions analytic on a domain is shown to be reflexive whenever Mz is polynomially bounded.

Keywords


Banach spaces of analytic functions, multi- plication operators, reflexive operator, multipliers, Caratheodory hull, bounded point evaluation, space of Laurent series associated with a sequence β, polynomially bounded.

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