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/