The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I

DOI10.1016/j.jat.2004.01.008zbMath1060.41031OpenAlexW2094380738MaRDI QIDQ596817

Seán Dineen, Jorge Mujica

Publication date: 10 August 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.01.008

zbMATH Keywords

Fréchet space

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Structure and classification of commutative topological algebras (46J40)

Related Items (10)

Invertibility in Fréchet algebras ⋮ Banach spaces of linear operators and homogeneous polynomials without the approximation property ⋮ Banach spaces of homogeneous polynomials without the approximation property ⋮ The approximation property for spaces of holomorphic functions on infinite dimensional spaces. III ⋮ Mixed topologies on Saks spaces of vector-valued functions ⋮ The compact approximation property for spaces of holomorphic mappings on Fréchet spaces ⋮ The approximation property for spaces of holomorphic functions on infinite dimensional spaces. II. ⋮ Holomorphic mappings associated to composition ideals of polynomials ⋮ On \(p\)-compact mappings and the \(p\)-approximation property ⋮ The Bounded Approximation Property for the Weighted (LB)-Spaces of Holomorphic Mappings on Banach Spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Théorie des distributions à valeurs vectorielles
• Invertibility in Fréchet algebras
• Spectrum and envelope of holomorphy for infinite dimensional Riemann domains
• A projective limit representation of (DFC)-spaces with the approximation property
• Holomorphic mappings of bounded type
• The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition
• Compact holomorphic mappings on Banach spaces and the approximation property
• (DCF)-Räume und lokalkonvexe Tensorprodukte
• On pure uniform holomorphy in spaces of holomorphic germs
• Bemerkungen über die Approximationseigenschaft lokalkonvexer Funktionenräume. (Remarks on the approximation property of locally convex function spaces)
• Cartan-Thullen theorem for domains spread over -spaces.
• Holomorphic approximation in infinite-dimensional Riemann domains
• Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy
• Approximation of analytic and continuous mappings by polynomials in Fréchet spaces
• Tensorprodukte von stetigen linearen Abbildungen in (F)- und (DCF)-Räumen.
• Riemann domains over (dfc)-spaces
• Analytic Continuation of Holomorphic Functions with Values in a Locally Convex Space
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
• Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. I.
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I