Displaying similar documents to “Linear topological invariants of spaces of holomorphic functions in infinite dimension.”

Structure of spaces of germs of holomorphic functions.

Nguyen Van Khue, P. Thien Danh (1997)

Publicacions Matemàtiques

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Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(O)]' ∈ (Ω) (resp. [H(O)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if H(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].