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Garrido, M. Isabel ; Jaramillo Aguado, Jesús Ángel ; Prieto Yerro, M. Ángeles | Real Academia de Ciencias Exactas, Físicas y Naturales | 2000This short article addresses natural problems such as this one: Let M and N be two Banach manifolds such that the algebras of real-analytic functions on M and N are isomorphic as algebras. Does it follow that M and N are real-analytic isom[...]texto impreso
Let k is an element of N and let E be a Banach space such that every k-homogeneous polynomial defined on a subspace of E has an extension to E. We prove that every norm one k-homogeneous polynomial, defined on a subspace, has an extension with a[...]texto impreso
Dimant, Verónica ; Lassalle, Silvia ; Prieto Yerro, M. Ángeles | Tusi Mathematical research group | 2016This paper is concerned with the study of geometric structures in spaces of polynomials. More precisely, we discuss for E and F Banach spaces, whether the class of n-homogeneous polynomials, 'P-w((n) E, F), which are weakly continuous on bounded[...]texto impreso
The notion of Kuratowski convergence is applied to describe a kind of convergence in the context of holomorphic functions. We associate it to a convenient topology, explore its relation with the compact-open topology, thus providing a new set th[...]texto impreso
Jaramillo Aguado, Jesús Ángel ; Prieto Yerro, M. Ángeles ; Zalduendo, Ignacio | Polish acad sciences inst mathematics | 2009This 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 probl[...]texto impreso
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This Note provides a new estimate concerning the Schwarz lemma in infinite dimensions. Namely we prove that, for a holomorphic mapping between the unit balls of two complex Banach spaces, the image of the ball of radius rtexto impreso
We introduce, study and characterize orthogonally additive holomorphic functions f:U -> a", where U is an open subset of C(K). We are led to consider orthogonal additivity at different points of U.texto impreso
Jaramillo Aguado, Jesús Ángel ; Prieto Yerro, M. Ángeles | Universidad de Extramadura, Departamento de Matemáticas | 1991We 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 spacetexto impreso
Jaramillo Aguado, Jesús Ángel ; Prieto Yerro, M. Ángeles ; Zalduendo, Ignacio | Suomalainen tiedeakatemia | 2000Several forms of the Dunford-Pettis property are studied, each related to a different mode of sequential convergence, and a different class of weakly compact functions. The relationship between these Dunford-Pettis properties is investigated, an[...]texto impreso
Caamaño Aldemunde, Iván ; Jaramillo Aguado, Jesús Ángel ; Prieto Yerro, M. Ángeles ; Ruiz de Alarcón, Alberto | Springer | 2020-11-09We are concerned here with Sobolev-type spaces of vector-valued functions. For an open subset ? ? R N and a Banach space V , we compare the classical Sobolev space W1,p(?, V ) with the so-called Sobolev-Reshetnyak space R1,p(?, V ). We see that,[...]texto impreso
In this paper we prove that the strict topology on spaces of continuous and holomorphic functions on a BANACH space can be considered a mixed topology. Using this fact, we obtain new results about the strict topology, as an application of the ge[...]texto impreso
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The authors consider the space of bounded holomorphic functions on the open unit ball of a Banach space with the natural analogue of the strict topology ? for the one- (or finite-)dimensional case. This can be defined by means of weighted semino[...]
