The regularity of the space of germs of Fréchet valued holomorphic functions and the mixed Hartog's theorem

DOI10.7146/MATH.SCAND.A-15003zbMath1154.46001OpenAlexW2223250978MaRDI QIDQ5444141

Thai Thuan Quang

Publication date: 22 February 2008

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-15003

zbMATH Keywords

Hartogs theorembounded linear mapsspace of holomorphic germsseparately holomorphicproperty \((\Omega)\), property \((LB_\infty)\)

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Infinite-dimensional holomorphy (46G20) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (3)

On \(\sigma(\cdot, W)\)-holomorphic functions and theorems of Vitali-type ⋮ Weakly and separately holomorphic functions on compact determining polydiscs in (DFN)-spaces ⋮ On Hartogs extension theorems for separately (⋅, W)-holomorphic functions

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