The Berezin transform on the Toeplitz algebra

By S. Axler, Dechao Zheng. Studia Mathematica, 2002

54 citations recorded by the source corpus.

This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the analytic Toeplitz operators on the Bergman space.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/b3f5ef5d3593ad3fc930d4ee43ad5a32480d3840

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Karel M. Stroethoff
2. Nina Zorboska
3. Z. C̆uc̆ković
4. Dechao Zheng

In Applied Mathematics

1. Karel M. Stroethoff
2. Nina Zorboska
3. Dechao Zheng
4. Z. C̆uc̆ković
5. Nikolai Vasilevski

Citations in the corpus

• Algebraic and spectral properties of dual Toeplitz operators (2002, methodology): “Furthermore, an operator S ∈ B(La) is in the commutator ideal CT if and only if S̃|M1 = 0 (here S̃ is the continuous extension to the maximal ideal space of the Berezin transform of S; see [4]).”
• Products of Toeplitz operators on the Bergman space (2001, background): “2 of [3] there is a characterization of all harmonic functions f and g such that fg is harmonic.”
• The Berezin transform and radial operators (2002, background): “One example (from [3]) is an operator that has a diagonal representation with respect to the standard basis {en} of L(2)a.”