Linear Topological Invariants of Spaces of Holomorphic Functions in Infinite Dimension
نویسندگان
چکیده
It is shown that if E is a Frechet space with the strong dual E∗ then Hb(E ∗), the space of holomorphic functions on E∗ which are bounded on every bounded set in E∗, has the property (DN) when E ∈ (DN) and that Hb(E∗) ∈ (Ω) when E ∈ (Ω) and either E∗ has an absolute basis or E is a Hilbert-Frechet-Montel space. Moreover the complementness of ideals J(V ) consisting of holomorphic functions on E∗ which are equal to 0 on V in H(E∗) for every nuclear Frechet space E with E ∈ (DN) ∩ (Ω) is stablished when J(V ) is finitely generated by continuous polynomials on E∗.
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