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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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: 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