On contractive projections in Hardy spaces
Volume 171 / 2005
Studia Mathematica 171 (2005), 93-102
MSC: 46E15, 30D55, 46B20, 46B04.
DOI: 10.4064/sm171-1-5
Abstract
We prove a conjecture of Wojtaszczyk that for $1 \leq p<\infty$, $p\neq 2$, $H_p({\mathbb T})$ does not admit any norm one projections with dimension of the range finite and greater 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.
