(DFN)-valued meromorphic functions on (DFN)-spaces and the properties \((\overline{\overline\Omega})\), \((\underline{\text{DN}})\)

Publication date: 23 November 2000

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

meromorphic function nuclear Fréchet spaces uniform type DFM-space DFN-spaces Fréchet valued holomorphic function property \((\overline{\overline\Omega})\) of Vogt property \((\underline{\text{DN}})\) of Vogt

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

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