A note on composition operators on spaces of real analytic functions
Volume 103 / 2012
Annales Polonici Mathematici 103 (2012), 209-216
MSC: Primary 46E10, 47B33, 32C07; Secondary 26E05, 32D15.
DOI: 10.4064/ap103-2-8
Abstract
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.