Commutants of Analytic Toeplitz Operators on the Bergman Space

Details Commutants of Analytic Toeplitz Operators on the Bergman Space Commutants of Analytic Toeplitz Operators on the Bergman Space

1998-08-14

arxiv.org/abs/math/9808066v1

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

Mathematics

Functional Analysis

5 pages. For more information, see http://math.sfsu.edu/axler/Commutants.html

Scientific paper

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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