Article
Concentration of the distance in finite dimensional normed spaces
Author/s | Arias de Reyna Martínez, Juan
![]() ![]() ![]() ![]() ![]() ![]() ![]() Ball, Keith Villa Caro, Rafael ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 1998-12 |
Deposit Date | 2016-12-01 |
Published in |
|
Abstract | 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). |
Funding agencies | Dirección General de Investigación Científica y Técnica (DGICYT). España National Science Foundation (NSF). United States |
Project ID. | PB93-0926
![]() DMS-9257020 ![]() |
Citation | 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. |
Files | Size | Format | View | Description |
---|---|---|---|---|
Concentration of the distance ... | 120.2Kb | ![]() | View/ | |