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

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