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Subspaces and orthogonal decompositions generated by bounded orthogonal systems

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


We investigate properties of subspaces of L 2 spanned by subsets of a finite orthonormal system bounded in the L ∞ norm. We first prove that there exists an arbitrarily large subset of this orthonormal system on which the L 1 and the L 2 norms are close

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
Source: Positivity
DOI: 10.1007/s11117-006-2059-1


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