On the distinguished character of the function spaces of holomorphic mappings of bounded type

DOI10.1016/0022-1236(80)90060-9zbMath0443.46018OpenAlexW2082917854MaRDI QIDQ1144236

Isidro, José M.

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90060-9

zbMATH Keywords

infinite dimensional holomorphydistinguished quasi- normable Frechet spacenot a Schwartz spacespace of holomorphic mappings of bounded type

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (3)

Quasi-normable preduals of spaces of holomorphic functions ⋮ Schauder type theorems for differentiable and holomorphic mappings ⋮ Holomorphic mappings of bounded type

Cites Work

• Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
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