Geodesic
On contractive projections in Hardy spaces
Florence Lancien 1   ; Beata Randrianantoanina 2   ; Eric Ricard 1
1 Département de Mathématiques Université de Franche-Comté 16 Route de Gray 25030 Besançon, France
2 Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A.
Studia Mathematica, Tome 171 (2005) no. 1, pp. 93-102 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove a conjecture of Wojtaszczyk that for $1 \leq p\infty$, $p\neq 2$, $H_p({\mathbb T})$ does not admit any norm one projections with dimension of the range finite and greater 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.
DOI : 10.4064/sm171-1-5
Keywords: prove conjecture wojtaszczyk leq infty neq mathbb does admit norm projections dimension range finite greater implies particular leq infty does admit schauder basis constant

Florence Lancien  1   ; Beata Randrianantoanina  2   ; Eric Ricard  1

1 Département de Mathématiques Université de Franche-Comté 16 Route de Gray 25030 Besançon, France
2 Department of Mathematics and Statistics Miami University Oxford, OH 45056, U.S.A. 
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Florence Lancien; Beata Randrianantoanina; Eric Ricard. On contractive projections in Hardy spaces. Studia Mathematica, Tome 171 (2005) no. 1, pp. 93-102. doi: 10.4064/sm171-1-5

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