Majorizing measures and proprtional subsets of bounded orthonormal systems

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

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Majorizing measures and proprtional subsets of bounded orthonormal systems

Date

2008

Authors

Guedon, Olivier

Mendelson, Shahar

Pajor, Alain

Tomczak-Jaegermann, Nicole

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

Keywords

Keywords: Empirical process; Majorizing measure; Orthonormal system

URI

http://hdl.handle.net/1885/35114

Collections

ANU Research Publications

Source

Revista Matematica Iberoamericana

Type

Journal article

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Majorizing measures and proprtional subsets of bounded orthonormal systems

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