On unconditional bases in spaces of holomorphic functions in infinite dimensions

DOI10.1007/BF01200347zbMath0706.46028OpenAlexW2091624779MaRDI QIDQ919233

Luiza A. Morales, Andreas Defant

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200347

zbMATH Keywords

unconditional basisbasis problemnuclearFréchet-Montel spacespace of all holomorphic functions(DF)-Montel spacecompact- open topologystrong dual with an absolute basis

Mathematics Subject Classification ID

Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (1)

On Fréchet Montel spaces and their projective tensor product

Cites Work

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• Tensor sequences and inductive limits with local partition of unity
• Tensor products and spaces of vector-valued continuous functions
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• Tensor product mappings
• Absolute bases, tensor products and a theorem of Bohr
• Limit Orders of επ-Continuous Operators
• Holomorphic Mappings on l 1
• Holomorphic functions of uniformly bounded type on nuclear Fréchet spaces
• Holomorphic functions on fully nuclear spaces

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