On contractive projections in Hardy spaces
Florence Lancien ; Beata Randrianantoanina ; Eric Ricard
Studia Mathematica, Tome 166 (2005), p. 93-102 / Harvested from The Polish Digital Mathematics Library
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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 greater than 1. This implies in particular that for 1 ≤ p < ∞, p ≠ 2, Hp does not admit a Schauder basis with constant one.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284781 
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Florence Lancien; Beata Randrianantoanina; Eric Ricard. On contractive projections in Hardy spaces. Studia Mathematica, Tome 166 (2005) pp. 93-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm171-1-5/