A note on composition operators on spaces of real analytic functions

Paweł Domański, Michał Goliński, and Michael Langenbruch. "A note on composition operators on spaces of real analytic functions." Annales Polonici Mathematici 103.2 (2012): 209-216. <http://eudml.org/doc/280402>.

@article{PawełDomański2012,
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 φ such that the associated composition operator is not open onto its image.},
author = {Paweł Domański, Michał Goliński, Michael Langenbruch},
journal = {Annales Polonici Mathematici},
keywords = {space of real analytic functions; composition operator; semiproper map; closed range map; open map; extension of analytic functions from an analytic set},
language = {eng},
number = {2},
pages = {209-216},
title = {A note on composition operators on spaces of real analytic functions},
url = {http://eudml.org/doc/280402},
volume = {103},
year = {2012},
}

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
VL - 103
IS - 2
SP - 209
EP - 216
AB - 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.
LA - eng
KW - space of real analytic functions; composition operator; semiproper map; closed range map; open map; extension of analytic functions from an analytic set
UR - http://eudml.org/doc/280402
ER -