Montel and reflexive preduals of spaces of holomorphic functions on Fréchet spaces

Boyd, Christopher

Studia Mathematica, Tome 104 (1993), p. 305-315 / Harvested from The Polish Digital Mathematics Library

Résumé

For U open in a locally convex space E it is shown in [31] that there is a complete locally convex space G(U) such that $G(U)^{\prime }_i = (ℋ (U),τ_δ)$. Here, we assume U is balanced open in a Fréchet space and give necessary and sufficient conditions for G(U) to be Montel and reflexive. These results give an insight into the relationship between the $τ_0$ and $τ_ω$ topologies on ℋ (U).

Détail

Publié le : 1993-01-01

Zbl 0811.46029

EUDML-ID : urn:eudml:doc:216035

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