∧(α)-nuclearity in infinite dimensional holomorphy

DOI10.1002/MANA.19821060113zbMath0505.46019OpenAlexW2002385282MaRDI QIDQ4741012

Manfred Börgens, Reinhold Meise, Dietmar Vogt

Publication date: 1982

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19821060113

zbMATH Keywords

space of holomorphic functionscompact open topologyinfinite dimensional holomorphynuclear power series spacespaces of analytic functionalsstrong nuclearity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (2)

New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces ⋮ Normal families of holomorphic functions and mappings on a Banach space

Cites Work

• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Structure of spaces of holomorphic functions on infinite dimensional polydiscs
• Analytic functionals on fully nuclear spaces

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