ON THE BANACH-DIEUDONNÉ THEOREM FOR SPACES OF HOLOMORPHIC FUNCTIONS

DOI10.1080/16073606.1996.9631844zbMath0858.46036OpenAlexW2084082959MaRDI QIDQ4886305

Pilar Rueda

Publication date: 31 July 1996

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1996.9631844

zbMATH Keywords

Fréchet spacesBanach-Dieudonné type theoremspace of entire functions of bounded type on a Banach space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (6)

On some classes of weighted spaces of weakly holomorphic functions ⋮ The Compact Approximation Property for Weighted Spaces of Holomorphic Mappings ⋮ Weighted composition operators between weighted spaces of vector-valued holomorphic functions on Banach spaces ⋮ Composition operators and multiplication operators on weighted spaces of analytic functions ⋮ THE BOUNDED APPROXIMATION PROPERTY FOR THE WEIGHTED SPACES OF HOLOMORPHIC MAPPINGS ON BANACH SPACES ⋮ The Bounded Approximation Property for the Weighted (LB)-Spaces of Holomorphic Mappings on Banach Spaces

Cites Work

• A Banach-Dieudonné theorem for germs of holomorphic functions
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• Holomorphic functions on Fréchet-Montel spaces
• Holomorphic mappings of bounded type
• Complex homomorphisms of the algebras of holomorphic functions on Frechet spaces
• A projective description of the Nachbin-ported topology
• Sur un théorème de Banach
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• Property (BB) and holomorphic functions on Fréchet-Montel spaces
• Unnamed Item

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