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2013 Differences of Composition Operators on Weighted Banach Spaces of Holomorphic Functions Defined on the Unit Ball of a Complex Banach Space
Elke Wolf
Commun. Math. Anal. 15(1): 1-10 (2013).

Abstract

We investigate differences of composition operators acting between weighted spaces of holomorphic functions defined on the open unit ball of a Banach space. We give necessary and sufficient conditions for such operators to be bounded resp. compact.

Citation

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Elke Wolf. "Differences of Composition Operators on Weighted Banach Spaces of Holomorphic Functions Defined on the Unit Ball of a Complex Banach Space." Commun. Math. Anal. 15 (1) 1 - 10, 2013.

Information

Published: 2013
First available in Project Euclid: 18 July 2013

zbMATH: 1275.47056
MathSciNet: MR3082260

Subjects:
Primary: 47B33, 47B38

Keywords: boundedness , compactness , differences of composition operators , Holomorphic functions , weighted Banach spaces

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.15 • No. 1 • 2013
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