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 
@article{10_4064_ap103_2_8,
     author = {Pawe{\l} Doma\'nski and Micha{\l} Goli\'nski and Michael Langenbruch},
     title = {A note on composition operators
 on spaces of real analytic functions},
     journal = {Annales Polonici Mathematici},
     pages = {209--216},
     publisher = {mathdoc},
     volume = {103},
     number = {2},
     year = {2012},
     doi = {10.4064/ap103-2-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap103-2-8/}
}
TY  - JOUR
AU  - Paweł Domański
AU  - Michał Goliński
AU  - Michael Langenbruch
TI  - A note on composition operators
 on spaces of real analytic functions
JO  - Annales Polonici Mathematici
PY  - 2012
SP  - 209
EP  - 216
VL  - 103
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap103-2-8/
DO  - 10.4064/ap103-2-8
LA  - en
ID  - 10_4064_ap103_2_8
ER  - 
%0 Journal Article
%A Paweł Domański
%A Michał Goliński
%A Michael Langenbruch
%T A note on composition operators
 on spaces of real analytic functions
%J Annales Polonici Mathematici
%D 2012
%P 209-216
%V 103
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap103-2-8/
%R 10.4064/ap103-2-8
%G en
%F 10_4064_ap103_2_8
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. http://geodesic.mathdoc.fr/articles/10.4064/ap103-2-8/

Cité par Sources :