## Communications in Mathematical Analysis

### On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space

N. Vasilevski

#### Abstract

We study the interrelations and differences between compactness properties of commutators and semi-commutators of Toeplitz operators for different classes (algebras) of their defining symbols. The importance and interest to this question is caused by the constitutive influence of these properties on the structure of corresponding Toeplitz and related operator algebras.

#### Article information

Source
Commun. Math. Anal., Conference 3 (2011), 225-234.

Dates
First available in Project Euclid: 25 February 2011

https://projecteuclid.org/euclid.cma/1298670015

Mathematical Reviews number (MathSciNet)
MR2772064

Zentralblatt MATH identifier
1226.47026

#### Citation

Vasilevski, N. On compactness of commutators and semi-commutators of Toeplitz operators on the Bergman space. Commun. Math. Anal. (2011), no. 3, 225--234. https://projecteuclid.org/euclid.cma/1298670015

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