Holomorphic functions of uniformly bounded type on nuclear Fréchet spaces

DOI10.4064/sm-83-2-147-166zbMath0657.46003OpenAlexW283728843MaRDI QIDQ3805261

Dietmar Vogt, Reinhold Meise

Publication date: 1986

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218703

zbMATH Keywords

nuclear Fréchet spaceslinear property \((LB^{\infty }).\)space of all holomorphic functions of uniformity bounded type

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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)

Related Items (7)

A characterization of Schwartz spaces ⋮ The property (DN) and the exponential representation of holomorphic functions ⋮ Characterization of nuclear Fréchet spaces in which every bounded set is polar ⋮ On unconditional bases in spaces of holomorphic functions in infinite dimensions ⋮ Counterexamples in holomorphic functions on nuclear Fréchet spaces ⋮ Extension of Entire Functions on Nuclear Locally Convex Spaces ⋮ On the holomorphic extension of vector valued functions

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