Distinguished preduals of spaces of holomorphic functions.
Christopher Boyd (1993)
Revista Matemática de la Universidad Complutense de Madrid
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Displaying similar documents to “Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy”
Distinguished preduals of spaces of holomorphic functions.
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In this article we show that a number of apparently different properties coincide on the set of holomorphic functions on a strict inductive limit (all inductive limits are assumed to be countable and proper) of Banach spaces and that they are all satisfied only in the trivial case of a strict inductive limit of finite dimensional spaces. Thus the linear properties of a strict inductive limit of Banach spaces rarely translate themselves into holomorphic properties.
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