This is an announcement for the paper "An example of an almost greedy uniformly bounded orthonormal basis for $L_p([0,1])$" by Morten Nielsen.

Abstract: We construct a uniformly bounded orthonormal almost greedy basis for $L_p([0,1])$, $1<p<\infty$. The example shows that it is not possible to extend Orlicz's theorem, stating that there are no uniformly bounded orthonormal unconditional bases for $L_p([0,1])$, $p\not=2$, to the class of almost greedy bases.

Archive classification: Functional Analysis

Mathematics Subject Classification: 42C20

Remarks: 8 pages

The source file(s), QG.tex: 23612 bytes, is(are) stored in gzipped form as 0611890.gz with size 8kb. The corresponding postcript file has gzipped size 96kb.

Submitted from: mnielsen@math.wustl.edu

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