A projective limit representation of (DFC)-spaces with the approximation property

DOI10.1016/0022-247X(86)90005-3zbMath0604.46001MaRDI QIDQ1083647

Mary Lilian Lourenço

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

holomorphic approximationeach (DFC)-space with the approximation property is a precompact projective limit of a family of normed spaces with monotone Schauder basis

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Inductive and projective limits in functional analysis (46M40)

Related Items (2)

The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I ⋮ Convolution operators on spaces of entire functions

Cites Work

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• The Levi problem in nuclear Silva spaces
• The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition
• (DCF)-Räume und lokalkonvexe Tensorprodukte
• Duals of Frechet spaces and a generalization of the Banach-Dieudonne theorem
• Holomorphic functions on locally convex topological vector spaces. II: Pseudo convex domains
• Holomorphic Approximation in Fréchet Spaces with Basis
• Cartan-Thullen theorem for domains spread over -spaces.
• Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy
• Tensorprodukte von stetigen linearen Abbildungen in (F)- und (DCF)-Räumen.
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic

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