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

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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