Annals of Functional Analysis

Quasicompact composition operators and power-contractive selfmaps

Amir H. Sanatpour

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Using the concept of power-contractive selfmaps of metric spaces, we investigate quasicompact composition operators on certain classes of Lipschitz algebras. As an application of our results, we obtain certain properties of power-contractive selfmaps of plane sets.

Article information

Ann. Funct. Anal., Volume 7, Number 2 (2016), 281-289.

Received: 12 April 2015
Accepted: 3 August 2015
First available in Project Euclid: 21 March 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47B33: Composition operators
Secondary: 46J15: Banach algebras of differentiable or analytic functions, Hp-spaces [See also 30H10, 32A35, 32A37, 32A38, 42B30]

composition operators quasi-compact operators quasicompact operators contractive selfmaps contractive selfmaps power-contractive selfmaps analytic Lipschitz algebras


Sanatpour, Amir H. Quasicompact composition operators and power-contractive selfmaps. Ann. Funct. Anal. 7 (2016), no. 2, 281--289. doi:10.1215/20088752-3505827.

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