On contractive projections in Hardy spaces

2005/04/14 by Florence Lancien, Lancien, Florence, Beata Randrianantoanina +4
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Holomorphic and Operator Theory #math.CV #math.FA

paper · pdf · doi:10.48550/arxiv.math/0504294

9 pages, to appear in Studia Mathematica

arxiv created 2005/04/14 · arxiv updated 2016/08/16

Abstract

We prove a conjecture of Wojtaszczyk that for 1≤ p<∞, p≠ 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≤ p<∞, p≠ 2, H_p does not admit a Schauder basis with constant one.

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