Majorizing measures and proprtional subsets of bounded orthonormal systems
Date
2008
Authors
Guedon, Olivier
Mendelson, Shahar
Pajor, Alain
Tomczak-Jaegermann, Nicole
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Autonoma de Madrid
Abstract
In this article we prove that for any orthonormal system (φj)j=1n ⊂ L2. that is bounded in L∞, and any 1 < k < n, there exists a subset I of cardinality greater than n - k such that on span{φi} i∈I, the L1 norm and the L2 norm are equivalent up to
Description
Keywords
Keywords: Empirical process; Majorizing measure; Orthonormal system
Citation
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Source
Revista Matematica Iberoamericana
Type
Journal article