Composition Operators with Closed Image on Spaces of Real Analytic Functions |
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Authors: | Domanski P; Langenbruch M |
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Institution: | Faculty of Mathematics and Comp. Sci., A. Mickiewicz University Pozna and Institute of Mathematics Polish Academy of Sciences, (Pozna branch), Umultowska 87, 61-614 Pozna, Poland domanski{at}amu.edu.pl
University of Oldenburg, Dep. of Mathematics D-26111 Oldenburg, Germany langenbruch{at}mathematik.uni-oldenburg.de |
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Abstract: | We characterize composition operators on spaces of real analyticfunctions which at the same time have closed image and are openonto their images. Under some mild assumptions, we also characterizecomposition operators with closed range and composition operatorsopen onto their images. 2000 Mathematics Subject Classification46E10, 47B33, 32C07 (primary), 26E05, 32E30, 32D15 (secondary). |
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