On the property (LB\(^\infty\)) of spaces of germs of holomorphic functions and the properties (\(\tilde\Omega \bar\Omega\)) of the Hartogs domains in infinite dimension

zbMath0968.46012MaRDI QIDQ1577610

Le Mau Hai, Pham Hien Bang

Publication date: 21 November 2000

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

zbMATH Keywords

Hartogs domainFréchet space of all germs of holomorphic functionsFréchet space with basis

Mathematics Subject Classification ID

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) Spaces of linear operators; topological tensor products; approximation properties (46A32) 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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