A tame splitting theorem for exact sequences of Fréchet spaces

DOI10.1007/BF02572355zbMath0823.46002MaRDI QIDQ1895775

Dietmar Vogt, Markus Poppenberg

Publication date: 5 November 1995

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174763

zbMATH Keywords

tameFréchet spacessplittingright inverseNash-Moserdual normexistence of continuous linear extension operatorsfundamental systems of Hilbertian seminormsholomorphic functions on complex manifolds in strictly pseudoconvex regionstamely exact sequence

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Pseudoconvex domains (32T99)

Related Items (12)

Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions ⋮ Tame sequence space representations of spaces of \(C^ \infty\)-functions ⋮ Properties \((\text{DN}_{(\phi,\psi)})\) and \(\Omega_{(\phi,\psi)}\) for Fréchet spaces ⋮ Holomorphic functional calculus for operators on a locally convex space ⋮ A separable Fréchet space of almost universal disposition ⋮ Simultaneous smoothing and interpolation with respect to E. Borel's theorem ⋮ The coherence of complemented ideals in the space of real analytic functions ⋮ Extension operators for real analytic functions on compact subvarieties of ⋮ On the splitting relation for Fréchet-Hilbert spaces ⋮ On the Dependence of Analytic Solutions of Partial Differential Equations on the Right-Hand Side ⋮ On tame pairs of Fréchet spaces ⋮ Separated Presheaves of Normed Spaces and -valued Norms

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