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Espaces de Banach-Stein

Vincenzo Ancona, Jean-Paul Speder (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Holomorphic functions on locally convex topological vector spaces. II. Pseudo convex domains

Sean Dineen (1973)

Annales de l'institut Fourier

In this article we discuss the relationship between domains of existence domains of holomorphy, holomorphically convex domains, pseudo convex domains, in the context of locally convex topological vector spaces. By using the method of Hirschowitz for Π n = 1 C and the method used for Banach spaces with a basis we prove generalisations of the Cartan-Thullen-Oka-Norguet-Bremmerman theorem for finitely polynomially convex domains in a variety of locally convex spaces which include the following:1) N -projective...

Infinite-dimensional complex projective spaces and complete intersections

Edoardo Ballico (2006)

Mathematica Bohemica

Let V be an infinite-dimensional complex Banach space and X 𝐏 ( V ) a closed analytic subset with finite codimension. We give a condition on X which implies that X is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.

Invariance of domain in o-minimal structures

Rafał Pierzchała (2001)

Annales Polonici Mathematici

The aim of this paper is to prove the theorem on invariance of domain in an arbitrary o-minimal structure. We do not make use of the methods of algebraic topology and the proof is based merely on some basic facts about cells and cell decompositions.

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