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INTERSECTIONS OF HOLOMORPHIC RETRACTS IN BANACH SPACES

Part of: Nonlinear operators and their properties Measures, integration, derivative, holomorphy

Published online by Cambridge University Press:  04 January 2011

MONIKA BUDZYŃSKA  and
SIMEON REICH
MONIKA BUDZYŃSKA
Affiliation:
Instytut Matematyki UMCS, 20-031 Lublin, Poland (email: monikab1@hektor.umcs.lublin.pl)
SIMEON REICH*
Affiliation:
Department of Mathematics, The Technion—Israel Institute of Technology, 32000 Haifa, Israel (email: sreich@tx.technion.ac.il)
*
✉For correspondence; e-mail: sreich@tx.technion.ac.il
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Abstract

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Using the Kobayashi distance, we provide sufficient conditions for the intersection of a family of holomorphic retracts in a Banach space to also be a holomorphic retract.

Keywords

complex geodesicfixed pointholomorphic mappingholomorphic retractkD-nonexpansive mappingkD-nonexpansive retractKobayashi distance

MSC classification

Secondary: 47H10: Fixed-point theorems 46G20: Infinite-dimensional holomorphy 47H09: Contraction-type mappings, nonexpansive mappings, $A$-proper mappings, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 89 , Issue 3 , December 2010 , pp. 297 - 307
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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