On contractive projections in Hardy spaces

Florence Lancien, Beata Randrianantoanina, and Eric Ricard. "On contractive projections in Hardy spaces." Studia Mathematica 171.1 (2005): 93-102. <http://eudml.org/doc/284781>.

@article{FlorenceLancien2005,
abstract = {We prove a conjecture of Wojtaszczyk that for 1 ≤ p < ∞, p ≠ 2, $H_\{p\}()$ does not admit any norm one projections with dimension of the range finite and greater than 1. This implies in particular that for 1 ≤ p < ∞, p ≠ 2, $H_\{p\}$ does not admit a Schauder basis with constant one.},
author = {Florence Lancien, Beata Randrianantoanina, Eric Ricard},
journal = {Studia Mathematica},
keywords = {contractive projection; Hardy space},
language = {eng},
number = {1},
pages = {93-102},
title = {On contractive projections in Hardy spaces},
url = {http://eudml.org/doc/284781},
volume = {171},
year = {2005},
}

TY - JOUR
AU - Florence Lancien
AU - Beata Randrianantoanina
AU - Eric Ricard
TI - On contractive projections in Hardy spaces
JO - Studia Mathematica
PY - 2005
VL - 171
IS - 1
SP - 93
EP - 102
AB - We prove a conjecture of Wojtaszczyk that for 1 ≤ p < ∞, p ≠ 2, $H_{p}()$ does not admit any norm one projections with dimension of the range finite and greater than 1. This implies in particular that for 1 ≤ p < ∞, p ≠ 2, $H_{p}$ does not admit a Schauder basis with constant one.
LA - eng
KW - contractive projection; Hardy space
UR - http://eudml.org/doc/284781
ER -