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COMPOSITION OPERATORS WITH CLOSED IMAGE ON SPACES OF REAL ANALYTIC FUNCTIONS

Published online by Cambridge University Press:  24 July 2006

P. DOMAŃSKI  and
M. LANGENBRUCH
P. DOMAŃSKI
Affiliation:
Faculty of Mathematics and Comp. Sci., A. Mickiewicz University Poznań and Institute of Mathematics, Polish Academy of Sciences, (Poznań branch), Umultowska 87, 61-614 Poznań, Polanddomanski@amu.edu.pl
M. LANGENBRUCH
Affiliation:
University of Oldenburg, Dep. of Mathematics, D-26111 Oldenburg, Germanylangenbruch@mathematik.uni-oldenburg.de
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Abstract

We characterize composition operators on spaces of real analytic functions which at the same time have closed image and are open onto their images. Under some mild assumptions, we also characterize composition operators with closed range and composition operators open onto their images.

Keywords

46E1047B3332C07 (primary)26E0532E3032D15 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 4 , August 2006 , pp. 636 - 646
Copyright
The London Mathematical Society 2006

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