Artículo
Concentration of the distance in finite dimensional normed spaces
Autor/es | Arias de Reyna Martínez, Juan
Ball, Keith Villa Caro, Rafael |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1998-12 |
Fecha de depósito | 2016-12-01 |
Publicado en |
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Resumen | We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is more than √2(1 − ε). As a consecuence, we obtain a result proved by Bourgain, using QS-descomposition, ... We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ∥x − y∥ is more than √2(1 − ε). As a consecuence, we obtain a result proved by Bourgain, using QS-descomposition, that guarantees an exponentially large number of points in the unit ball any two of which are separated by more than √2(1 − ε). |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España National Science Foundation (NSF). United States |
Identificador del proyecto | PB93-0926
DMS-9257020 |
Cita | Arias de Reyna Martínez, J., Ball, K. y Villa Caro, R. (1998). Concentration of the distance in finite dimensional normed spaces. Mathematika, 45 (2), 245-252. |
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