scientific article

zbMath0495.46018MaRDI QIDQ3958944

Seán Dineen

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

compact open topologyinfinite dimensional holomorphyfully nuclear spacecountable strict inductive limit of B-nuclear spacesholomorphic extension theorem of the Hahn-Banach typeNachbin's ported topologynuclear Frechet space with a basisspace of holomorphic functions on a locally convex space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Infinite-dimensional holomorphy (46G20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Hyperfunctions, analytic functionals (46F15) 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) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Summability and bases in topological vector spaces (46A35)

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