Bulletin of the Belgian Mathematical Society - Simon Stevin

Differences of Weighted Composition Operators on the Disk Algebra

Shûichi Ohno

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Abstract

We study properties of the differences of weighted composition operators on the disk algebra and will see the equivalence of the compactness, the weak compactness and the complete continuity of them. Moreover, we characterize the differences of weighted composition operators acting from the space of bounded analytic functions to the disk algebra.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 17, Number 1 (2010), 101-107.

Dates
First available in Project Euclid: 5 March 2010

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1267798501

Digital Object Identifier
doi:10.36045/bbms/1267798501

Mathematical Reviews number (MathSciNet)
MR2656674

Zentralblatt MATH identifier
1214.47027

Subjects
Primary: 47B38: Operators on function spaces (general) 47B33: Composition operators

Keywords
weighted composition operator disk algebra Banach algebra of bounded analytic functions

Citation

Ohno, Shûichi. Differences of Weighted Composition Operators on the Disk Algebra. Bull. Belg. Math. Soc. Simon Stevin 17 (2010), no. 1, 101--107. doi:10.36045/bbms/1267798501. https://projecteuclid.org/euclid.bbms/1267798501


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