Abstract of a paper by Florence Lancien, Beata Randrianantoanina, and Eric Ricard
This is an announcement for the paper "On contractive projections in Hardy spaces" by Florence Lancien, Beata Randrianantoanina, and Eric Ricard. Abstract: We prove a conjecture of Wojtaszczyk that for $1\leq p<\infty$, $p\neq 2$, $H_p(\mathbbT)$ does not admit any norm one projections with dimension of the range finite and bigger than 1. This implies in particular that for $1\leq p<\infty$, $p\ne 2$, $H_p$ does not admit a Schauder basis with constant one. Archive classification: Functional Analysis; Complex Variables Remarks: 9 pages, to appear in Studia Mathematica The source file(s), hardy9.tex: 30622 bytes, is(are) stored in gzipped form as 0504294.gz with size 11kb. The corresponding postcript file has gzipped size 57kb. Submitted from: randrib@muohio.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0504294 or http://arXiv.org/abs/math.FA/0504294 or by email in unzipped form by transmitting an empty message with subject line uget 0504294 or in gzipped form by using subject line get 0504294 to: math@arXiv.org.
participants (1)
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Dale Alspach