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

Christopher Boyd

ArticleOriginal scientific text

Title

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

Authors ¹

Affiliations

Department of Mathematics, University College Dublin, Belfield Dublin 4, Ireland

Abstract

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)'_{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).

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Title

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

Affiliations

Abstract

Bibliography