Displaying similar documents to “Spaces of holomorphic mappings on locally convex spaces”

On complete, precompact and compact sets.

Leonhard Frerick (1993)

Collectanea Mathematica

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Completeness criterion of W. Robertson is generalized. Applications to vector valued sequences and to spaces of linear mappings are given.

Holomorphic functions on strict inductive limits of Banach spaces.

Seán Dineen, Luiza A. Moraes (1992)

Revista Matemática de la Universidad Complutense de Madrid

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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.