On a problem of topologies in infinite dimensional holomorphy

DOI10.1007/BF01190669zbMath0711.46032OpenAlexW2031670250MaRDI QIDQ923328

José M. Ansemil, Jari Taskinen

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01190669

zbMATH Keywords

compact open topologyFréchet-Montel spaceNachbin topology

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) 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) Tensor products in functional analysis (46M05)

Related Items (10)

On Fréchet Montel spaces and their projective tensor product ⋮ On 2-homogeneous polynomials on some non-stable Banach and Fréchet spaces ⋮ Quasinormability and topologies on spaces of polynomials ⋮ Property (BB) and holomorphic functions on Fréchet-Montel spaces ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ On the injective tensor product of quasinormable spaces ⋮ Holomorphic functions on Fréchet-Montel spaces ⋮ Tensor representation of spaces of holomorphic functions and applications ⋮ The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces ⋮ Compact Sets of Holomorphic Mappings

Cites Work

• Unnamed Item
• A Banach-Dieudonné theorem for germs of holomorphic functions
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• The projective tensor product of Fréchet-Montel spaces

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