Geodesic
A note on composition operators on spaces of real analytic functions
Paweł Domański1 ; Michał Goliński2 ; Michael Langenbruch3
1Institute of Mathematics (Poznań branch) Polish Academy of Sciences Umultowska 87 61-614 Poznań, Poland
2Faculty of Mathematics and Computer Science Adam Mickiewicz University Poznań Umultowska 87 61-614 Poznań, Poland
3Department of Mathematics University of Oldenburg D-26111 Oldenburg, Germany
Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 209-216
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We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map $\varphi $ such that the associated composition operator is not open onto its image.
DOI : 10.4064/ap103-2-8
Keywords: characterize composition operators spaces real analytic functions which their images example semiproper map varphi associated composition operator its image

Paweł Domański  1   ; Michał Goliński  2   ; Michael Langenbruch  3

1 Institute of Mathematics (Poznań branch) Polish Academy of Sciences Umultowska 87 61-614 Poznań, Poland
2 Faculty of Mathematics and Computer Science Adam Mickiewicz University Poznań Umultowska 87 61-614 Poznań, Poland
3 Department of Mathematics University of Oldenburg D-26111 Oldenburg, Germany 
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 on spaces of real analytic functions
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Paweł Domański; Michał Goliński; Michael Langenbruch. A note on composition operators
 on spaces of real analytic functions. Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 209-216. doi: 10.4064/ap103-2-8

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