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θ -Runge domains for P-holomorphy types

Luiza A. Moraes — 1980

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Vengono studiati i legami fra i domini di Runge e domini di Runge di tipo 0 in uno spazio di Banach complesso, introducendo una nuova nozione di dominio di Runge.

Holomorphic functions on strict inductive limits of Banach spaces.

Seán DineenLuiza A. Moraes — 1992

Revista Matemática de la Universidad Complutense de Madrid

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.

Factorization of uniformly holomorphic functions

Luiza A. MoraesOtilia W. PaquesM. Carmelina F. Zaine — 1995

Annales Polonici Mathematici

Let E be a complex Hausdorff locally convex space such that the strong dual E’ of E is sequentially complete, let F be a closed linear subspace of E and let U be a uniformly open subset of E. We denote by Π: E → E/F the canonical quotient mapping. In §1 we study the factorization of uniformly holomorphic functions through π. In §2 we study F-quotients of uniform type and introduce the concept of envelope of uF-holomorphy of a connected uniformly open subset U of E. The main result states that the...

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