Reflexivity on Some Function Spaces∗

Authors

  • Bahmann Yousefi

DOI:

https://doi.org/10.30495/jme.v0i0.46

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.

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.

Author Biography

Bahmann Yousefi

Payame-Noor University Shiraz, Shahrake Golestan P. O. Box: 71955-1368 Shiraz, Iran

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Published

2009-03-02

Issue

Vol 3 (2008-2009)

Section

Vol. 3, No. 2 (2009)

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