We characterize all Fréchet quotients of the space (Ω) of (complex-valued) real-analytic functions on an arbitrary open set . We also characterize those Fréchet spaces E such that every short exact sequence of the form 0 → E → X → (Ω) → 0 splits.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-2-5,
author = {P. Doma\'nski and L. Frerick and D. Vogt},
title = {Fr\'echet quotients of spaces of real-analytic functions},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {229-245},
zbl = {1062.46023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-2-5}
}
P. Domański; L. Frerick; D. Vogt. Fréchet quotients of spaces of real-analytic functions. Studia Mathematica, Tome 157 (2003) pp. 229-245. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-2-5/