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Article Dans Une Revue Studia Mathematica Année : 2005

On contractive projections in Hardy spaces

Résumé

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.

Dates et versions

hal-00475248 , version 1 (21-04-2010)

Identifiants

Citer

Florence Lancien, Beata Randrianantoanina, Éric Ricard. On contractive projections in Hardy spaces. Studia Mathematica, 2005, 171 (1), pp.93--102. ⟨10.1007/s00220-004-1266-5⟩. ⟨hal-00475248⟩
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