Reflexivity on Banach Spaces of Analytic Functions

Authors

  • Bahmann Yousefi
  • Jinalo Doroodgar

DOI:

https://doi.org/10.30495/jme.v0i0.41

Keywords:

Banach spaces of analytic functions, multiplication operators, reflexive operator, multipliers, Caratheodory hull, bounded point evaluation.

Abstract

Let X be a Banach space of functions analytic on a plane domain Ω such that for every λ in Ω the functional of evaluation at λ is bounded. Assume further that X contains the constants and admits multiplication by the independent variable z, Mz, as a bounded operator. We give su±cient conditions for Mz to be reflexive.

Author Biographies

Bahmann Yousefi

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

Jinalo Doroodgar

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

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Published

2008-03-01

Issue

Vol 3 (2008-2009)

Section

Vol. 3, No. 1 (2008)

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