Open Access
May 2016 Quasicompact composition operators and power-contractive selfmaps
Amir H. Sanatpour
Ann. Funct. Anal. 7(2): 281-289 (May 2016). DOI: 10.1215/20088752-3505827

Abstract

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.

Citation

Download Citation

Amir H. Sanatpour. "Quasicompact composition operators and power-contractive selfmaps." Ann. Funct. Anal. 7 (2) 281 - 289, May 2016. https://doi.org/10.1215/20088752-3505827

Information

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

zbMATH: 1341.47031
MathSciNet: MR3476638
Digital Object Identifier: 10.1215/20088752-3505827

Subjects:
Primary: 47B33
Secondary: ‎46J15

Keywords: analytic Lipschitz algebras , Composition operators , contractive selfmaps , contractive selfmaps , power-contractive selfmaps , quasicompact operators , quasi-compact operators

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.7 • No. 2 • May 2016
Back to Top