Fréchet quotients of spaces of real-analytic functions

• Autorzy: P. Domański , L. Frerick , D. Vogt
• Języki publikacji: EN

Abstrakty

EN

We characterize all Fréchet quotients of the space 𝒜(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 → 𝒜(Ω) → 0 splits.

Kategorie tematyczne

• 46A04: Locally convex Fr\'echet spaces and (DF)-spaces
• 46A45: Sequence spaces (including K\"othe sequence spaces)
• 46E10: Topological linear spaces of continuous, differentiable or analytic functions
• 46A63: Topological invariants ((DN), ( Ω ), etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 159
• Numer: 2
• Strony: 229-245

Daty

wydano

2003

Twórcy

autor

P. Domański

• Faculty of Mathematics and Computer Science, A. Mickiewicz University Poznań
• Institute of Mathematics, Polish Academy of Sciences, (Poznań branch), Umultowska 87, 61-614 Poznań, Poland

autor

L. Frerick

• FB Mathematik, Bergische Universität Wuppertal, Gaußstr. 20, D-42097 Wuppertal, Germany

autor

D. Vogt

• FB Mathematik, Bergische Universität Wuppertal, Gaußstr. 20, D-42097 Wuppertal, Germany

Identyfikatory

DOI

10.4064/sm159-2-5