Displaying similar documents to “Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains”

Holomorphic functions on strict inductive limits of Banach spaces.

Seán Dineen, Luiza A. Moraes (1992)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

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.