Commutants of analytic Toeplitz operators

on the Bergman space

Authors:
Sheldon Axler, Zeljko Cuckovic and N. V. Rao

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1951-1953

MSC (2000):
Primary 47B35

Published electronically:
October 29, 1999

MathSciNet review:
1694299

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Abstract | References | Similar Articles | Additional Information

Abstract: In this note we show that if two Toeplitz operators on a Bergman space commute and the symbol of one of them is analytic and nonconstant, then the other one is also analytic.

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Additional Information

**Sheldon Axler**

Affiliation:
Department of Mathematics, San Francisco State University, San Francisco, California 94132

Email:
axler@sfsu.edu

**Zeljko Cuckovic**

Affiliation:
Department of Mathematics, University of Toledo, Toledo, Ohio 43606

Email:
zcuckovi@math.utoledo.edu

**N. V. Rao**

Email:
rnagise@math.utoledo.edu

DOI:
https://doi.org/10.1090/S0002-9939-99-05436-2

Received by editor(s):
August 8, 1998

Published electronically:
October 29, 1999

Additional Notes:
The first author was partially supported by the National Science Foundation

Communicated by:
David R. Larson

Article copyright:
© Copyright 2000
American Mathematical Society