On contractive projections in Hardy spaces

Details On contractive projections in Hardy spaces On contractive projections in Hardy spaces

2005-04-14

arxiv.org/abs/math/0504294v1

Mathematics

Functional Analysis

9 pages, to appear in Studia Mathematica

Scientific paper

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.

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