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ArticleOriginal scientific text

Title

Commutants of certain multiplication operators on Hilbert spaces of analytic functions

Authors 1, 1

Affiliations

  1. Department of Mathematics, Shiraz University, 71454 Shiraz, Iran

Abstract

This paper characterizes the commutant of certain multiplication operators on Hilbert spaces of analytic functions. Let A=Mz be the operator of multiplication by z on the underlying Hilbert space. We give sufficient conditions for an operator essentially commuting with A and commuting with An for some n>1 to be the operator of multiplication by an analytic symbol. This extends a result of Shields and Wallen.

Keywords

ENG
commutant, multiplication operators, Hilbert spaces of analytic functions, reproducing kernel

Bibliography

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Studia Mathematica
1999/133/2
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Pages:
121-130
Main language of publication
English
Received
1997-03-24
Accepted
1998-07-09
Published
1999
Exact and natural sciences