Holomorphic functions on Fréchet-Montel spaces

DOI10.1016/0022-247X(92)90268-IzbMath0849.46031OpenAlexW1988257876MaRDI QIDQ1191764

Seán Dineen

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90268-i

zbMATH Keywords

holomorphic functionscompact open topologyFréchet-Montel spacesemi-norms ported by compact subsetsunconditional basis of type \((T)\)

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) Summability and bases in topological vector spaces (46A35) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (5)

On Fréchet Montel spaces and their projective tensor product ⋮ Quasinormability and topologies on spaces of polynomials ⋮ Property (BB) and holomorphic functions on Fréchet-Montel spaces ⋮ ON THE BANACH-DIEUDONNÉ THEOREM FOR SPACES OF HOLOMORPHIC FUNCTIONS ⋮ Tensor representation of spaces of holomorphic functions and applications

Cites Work

• On a problem of topologies in infinite dimensional holomorphy
• The compact open and the Nachbin ported topologies on spaces of holomorphic functions
• Ultrapowers of Locally Convex Spaces and Applications, II
• Produits tensoriels topologiques et espaces nucléaires
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