Quasi-normable preduals of spaces of holomorphic functions

DOI10.1006/jmaa.1997.5311zbMath0992.46032OpenAlexW2035184385MaRDI QIDQ1359610

Jorge Mujica, Domingo García

Publication date: 2 April 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5311

zbMATH Keywords

compact-ported topologyspace of all holomorphic functionsquasi-normableseparable Fréchet spacestrict Mackey convergence

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (2)

Analytic cohomology groups of infinite dimensional complex manifolds ⋮ Preduals of spaces of holomorphic functions and the approximation property

Cites Work

• A Banach-Dieudonné theorem for germs of holomorphic functions
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• On the distinguished character of the function spaces of holomorphic mappings of bounded type
• Holomorphic mappings of bounded type
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• The late works of Leopoldo Nachbin
• Linearization of holomorphic mappings on locally convex spaces
• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• A Question of Valdivia on Quasinormable Fréchet Spaces
• Linearization of Bounded Holomorphic Mappings on Banach Spaces
• Linearization of holomorphic mappings on fully nuclear spaces with a basis
• Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces
• Convolution operators on spaces of entire functions
• Complete Spaces of Vector-Valued Holomorphic Germs.
• Holomorphic Germs on Tsirelson's Space
• Holomorphic germs on Banach spaces
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