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Commutants of Analytic Toeplitz Operators on the Bergman Space

1998/08/14 by Sheldon Axler, Zeljko Cuckovic, N. V. Rao
Mathematics · #math.FA #msc:47B35

paper · pdf

published as Proc. Amer. Math. Soc. 128 (2000), 1951-1953 · 5 pages. For more information, see http://math.sfsu.edu/axler/Commutants.html

arxiv created 1998/08/14 · arxiv updated 2009/11/30

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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