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Autor Jaramillo Aguado, Jesús Ángel |
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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
We investigate the best order of smoothness of L-p(L-q). We prove in particular that there exists a C-infinity-smooth bump function on L-p(L-q) if and only if p and q are even integers and p is a multiple of q.texto impreso
Garrido, M. Isabel ; Jaramillo Aguado, Jesús Ángel | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica | 2001Let L be a unital vector lattice of continuous functions on a topological space X . We study when every real lattice homomorphism on L is given by evaluation at some point of X . Some applications are given in order to obtain Banach-Stone-type[...]texto impreso
In this note we prove that if a differentiable function oscillates between y« and « on the boundary of the unit ball then there exists a point in the interior of the ball in which the differential of the function has norm equal or less than« . T[...]texto impreso
Gonzalo, Raquel ; Jaramillo Aguado, Jesús Ángel | Universidad de Extremadura, Departamento de Matemáticas | 1997In this paper we survey some recent results concerning separating polynomials on real Banach spaces. By this we mean a polynomial which separates the origin from the unit sphere of the space, thus providing an analog of the separating quadratic [...]texto 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
We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f : M -> R defined on a connected, second countable Finsler manif[...]texto impreso
Given a surjective mapping f : E -> F between Banach spaces, we investigate the existence of a subspace G of E, with the same density character as F, such that the restriction of f to G remains surjective. We obtain a positive answer whenever f[...]texto impreso
Let f : E -> F be a surjective mapping between two real or complex Banach spaces, with f having some strong differentiability properties. We investigate when there is a smaller Banach space G subset of E such that the restriction of f to G rema[...]texto impreso
An upper bound for the order of smoothness of bump functions in Banach spaces without copy of c(0) is found in terms of lower and upper estimates of their sequences. It is also shown that every C-infinity-smooth Banach space with symmetric basis[...]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
We characterize realcompact spaces for which A-realcompactness is inherited by closed subspacestexto impreso
González, Manuel ; Gonzalo, Raquel ; Jaramillo Aguado, Jesús Ángel | London Mathematical Sociey | 1999-04The exact representation of symmetric polynomials on Banach spaces with symmetric basis and also on separable rearrangement-invariant function spaces over [0, 1] and [0, infinity) is given. As a consequence of this representation it is obtained [...]texto impreso
García González, Ricardo ; Jaramillo Aguado, Jesús Ángel ; Llavona, José G. | Wiley-Blackwell | 2011In this paper we show that the Aron-Berner type extension of polynomials preserves the P-continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces.