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Strict continuous homomorphisms on spaces of bounded holomorphic functions.

Angeles Prieto Yerro — 1990

Extracta Mathematicae

Let H be the space of all bounded holomorphic functions on the unit ball of the Banach space E. In this note we study the algebra homomorphisms on H which are strict continuous.

Remarks on the weak-polynomial convergence on a Banach space.

Jesús A. Jaramillo; Angeles Prieto Yerro — 1991

Extracta Mathematicae

We shall be concerned in this note with some questions posed by Carne, Cole and Gamelin in [3], involving the weak-polynomial convergence and its relation to the tightness of certain algebras of analytic functions on a Banach space.

Linearization and compactness

Jesús Ángel Jaramillo; Ángeles Prieto; Ignacio Zalduendo — 2009

Studia Mathematica

This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping,...

Banach-Stone Theorems for Banach Manifolds.

JESÚS A. JARAMILLO and ÁNGELES PRIETO M. ISABEL GARRIDO — 2000

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Sequential convergences and Dunford-Pettis properties.

Jaramillo, Jesús Angel; Prieto, Angeles; Zalduendo, Ignacio — 2000

Annales Academiae Scientiarum Fennicae. Mathematica

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