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Majorizing measures and proprtional subsets of bounded orthonormal systems

Guedon, Olivier; Mendelson, Shahar; Pajor, Alain; Tomczak-Jaegermann, Nicole

Description

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

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
URI: http://hdl.handle.net/1885/35114
Source: Revista Matematica Iberoamericana

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