Fréchet quotients of spaces of real-analytic functions

DOI10.4064/sm159-2-5zbMath1062.46023OpenAlexW1978360743MaRDI QIDQ4811111

Dietmar Vogt, Leonhard Frerick, Paweł Domański

Publication date: 18 August 2004

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/sm/Inf/159-2-5.html

zbMATH Keywords

topological invariantsFréchet spacequotient spacesplitting of short exact sequencescountably normedspace of real-analytic functions\((\text{DN}_\varphi)\)-property

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (7)

Solution to the first Cousin problem for vector-valued quasianalytic functions ⋮ Characterization of splitting for Fréchet--Hilbert spaces via interpolation ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations ⋮ The coherence of complemented ideals in the space of real analytic functions ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

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