Geodesic
A note on composition operators on spaces of real analytic functions
Paweł Domański1 ; Michał Goliński2 ; Michael Langenbruch3
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
Annales Polonici Mathematici, Tome 103 (2012) no. 2, pp. 209-216

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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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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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