Holomorphic functions on strict inductive limits

DOI10.1007/BF03322978zbMath0475.46035OpenAlexW2012227078MaRDI QIDQ1159872

Luiza Amália Moraes

Publication date: 1981

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322978

zbMATH Keywords

infinite dimensional holomorphyhypocontinuous mappinglocally bounded subsetsstrict inductive limit of Frechet Montel spaces

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) Inductive and projective limits in functional analysis (46M40) (k)-spaces (54D50)

Related Items (4)

\(Q\)-reflexive locally convex spaces ⋮ Linearization of holomorphic mappings on fully nuclear spaces with a basis ⋮ Locally Bounded Sets of Holomorphic Mappings ⋮ Continuous norms on locally convex strict inductive limit spaces

Cites Work

• Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
• Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy
• Holomorphic functions on fully nuclear spaces
• Normalization Properties of Schauder Bases
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