On contractive projections in Hardy spaces
Florence Lancien, Beata Randrianantoanina, Eric Ricard
Abstract
We prove a conjecture of Wojtaszczyk that for 1≤ p<∞, p≠ 2, Hp() 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, Hp does not admit a Schauder basis with constant one.
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