A general approach to infinite-dimensional holomorphy

DOI10.1007/BF01326843zbMath0579.46031OpenAlexW1971179093MaRDI QIDQ1067173

Mikael Lindström, Sten Bjon

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178260

zbMATH Keywords

continuous convergenceexponential lawbornological vector spacesGâteaux holomorphic functionsholomorphic functions between locally convex spaces andholomorphic functions between locally convex spaces and bornological vector spaceshypoanalytic functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (8)

One-parameter semigroups of operators on \(L_c\)-embedded spaces. ⋮ On an integral transform by R. S. Phillips ⋮ A characterization of Schwartz spaces ⋮ Algebras of holomorphic functions ⋮ The Schwartz property and nuclearity of spaces of smooth and holomorphic functions in infinite dimensions ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ Characterization of Schwartz Spaces by their Holomorphic Duals ⋮ Holomorphy in convergence spaces

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• On Schwartz Convergence Vector Spaces
• Einbettbarkeit in den Bidualraum und Darstellbarkeit als projektiver Limes in Kategorien von Limesvektorräumen

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