Fréchet quotients of spaces of real-analytic functions

P. Domański, L. Frerick, and D. Vogt. "Fréchet quotients of spaces of real-analytic functions." Studia Mathematica 159.2 (2003): 229-245. <http://eudml.org/doc/284778>.

@article{P2003,
abstract = {We characterize all Fréchet quotients of the space (Ω) of (complex-valued) real-analytic functions on an arbitrary open set $Ω ⊆ ℝ^\{d\}$. We also characterize those Fréchet spaces E such that every short exact sequence of the form 0 → E → X → (Ω) → 0 splits.},
author = {P. Domański, L. Frerick, D. Vogt},
journal = {Studia Mathematica},
keywords = {space of real-analytic functions; Fréchet space; quotient space; countably normed; -property; splitting of short exact sequences; topological invariants},
language = {eng},
number = {2},
pages = {229-245},
title = {Fréchet quotients of spaces of real-analytic functions},
url = {http://eudml.org/doc/284778},
volume = {159},
year = {2003},
}

TY - JOUR
AU - P. Domański
AU - L. Frerick
AU - D. Vogt
TI - Fréchet quotients of spaces of real-analytic functions
JO - Studia Mathematica
PY - 2003
VL - 159
IS - 2
SP - 229
EP - 245
AB - We characterize all Fréchet quotients of the space (Ω) of (complex-valued) real-analytic functions on an arbitrary open set $Ω ⊆ ℝ^{d}$. We also characterize those Fréchet spaces E such that every short exact sequence of the form 0 → E → X → (Ω) → 0 splits.
LA - eng
KW - space of real-analytic functions; Fréchet space; quotient space; countably normed; -property; splitting of short exact sequences; topological invariants
UR - http://eudml.org/doc/284778
ER -