Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 12, Number 2 (2018), 456-480.
Reducing subspaces for a class of nonanalytic Toeplitz operators
In this paper, we give a uniform characterization for the reducing subspaces for with the symbol () on the Bergman spaces over the bidisk, including the known cases that and with . Meanwhile, the reducing subspaces for () on the Bergman space over the unit disk are also described. Finally, we state these results in terms of the commutant algebra .
Banach J. Math. Anal., Volume 12, Number 2 (2018), 456-480.
Received: 19 April 2017
Accepted: 29 July 2017
First available in Project Euclid: 19 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47B35: Toeplitz operators, Hankel operators, Wiener-Hopf operators [See also 45P05, 47G10 for other integral operators; see also 32A25, 32M15]
Secondary: 47C15: Operators in $C^*$- or von Neumann algebras
Deng, Jia; Lu, Yufeng; Shi, Yanyue; Hu, Yinyin. Reducing subspaces for a class of nonanalytic Toeplitz operators. Banach J. Math. Anal. 12 (2018), no. 2, 456--480. doi:10.1215/17358787-2017-0035. https://projecteuclid.org/euclid.bjma/1513674118