We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.
@article{bwmeta1.element.bwnjournal-article-doi-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},
volume = {105},
year = {2012},
pages = {209-216},
zbl = {1272.47038},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-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 105 (2012) pp. 209-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-2-8/