Listar Artículos (Análisis Matemático) por autor "Villa Caro, Rafael"
Mostrando ítems 1-6 de 6
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A lower bound for the equilateral number of normed spaces
(American Mathematical Society, 2008)We show that if the Banach-Mazur distance between an n-dimensional normed space X and ℓ n∞ is at most 3/2, then there exist ...
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Brunn-Minkowski and Zhang inequalities for convolution bodies
(Elsevier, 2013-05-01)A quantitative version of Minkowski sum, extending the definition of θ-convolution of convex bodies, is studied to obtain ...
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Concentration of the distance in finite dimensional normed spaces
(University College London, Faculty of Mathematical and Physical Sciences, Department of Mathematics, 1998-12)We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is ...
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John's ellipsoid and the integral ratio of a log-concave function
(Springer, 2018-04)We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define ...
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Maximal equilateral sets
(Springer, 2013-09)A subset of a normed space X is called equilateral if the distance between any two points is the same. Let m(X) be the ...
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Rogers-Shephard inequality for log-concave functions
(Elsevier, 2016-12-01)In this paper we prove different functional inequalities extending the classical Rogers-Shephard inequalities for convex ...