Abstract of a paper by Morten Nielsen
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0611890 or http://arXiv.org/abs/math.FA/0611890 or by email in unzipped form by transmitting an empty message with subject line uget 0611890 or in gzipped form by using subject line get 0611890 to: math@arXiv.org.
participants (1)
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Dale Alspach