The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition

DOI10.5802/aif.638zbMath0309.32013OpenAlexW2055682686MaRDI QIDQ1218942

Martin Schottenloher

Publication date: 1976

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1976__26_4_207_0

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Pseudoconvex domains (32T99) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (14)

A projective limit representation of (DFC)-spaces with the approximation property ⋮ The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I ⋮ Characterization of nuclear Fréchet spaces in which every bounded set is polar ⋮ Der invariante Kontinuitätssatz für meromorphe Funktionen ⋮ The Levi problem in nuclear Silva spaces ⋮ Michael problem and algebras of holomorphic functions ⋮ Levi extension theorems for meromorphic functions of weak type in infinite dimension ⋮ \(F\)-quotients and envelope of \(F\)-holomorphy ⋮ A note on projective limits of \(LB\)-spaces ⋮ Holomorphe Funktionen auf Gebieten über Banachräumen zu vorgegebenen Konvergenzradien ⋮ RIEMANN DOMAINS OVER BANACH-GRASSMANN MANIFOLDS ⋮ Spectrum and envelope of holomorphy for infinite dimensional Riemann domains ⋮ L'équation $\bar\partial$ dans les ouverts pseudo-convexes des espaces DFN ⋮ Spectra of algebras of holomorphic functions on infinite dimensional Riemann domains

Cites Work

• Weak sequential convergence in the dual of a Banach space does not imply norm convergence
• The Levi problem in certain infinite dimensional vector spaces
• Einführung in die Theorie der lokalkonvexen Räume
• Domains of \(\tau\)-holomorphy in a separable Banach space
• Prolongement analytique en dimension infinie. (Analytic extension in infinite dimension)
• Über analytische Fortsetzung in Banachräumen
• Holomorphic functions on locally convex topological vector spaces. II: Pseudo convex domains
• Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy
• Le problème de Lévi dans certains espaces vectoriels topologiques localement convexes
• The Approximation Property Does Not Imply the Bounded Approximation Property
• Introduction to the Theory of Bases
• Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
• A local factorization of analytic functions and its applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition