On contractive projections in Hardy spaces

• Autorzy: Florence Lancien , Beata Randrianantoanina , Eric Ricard
• Języki publikacji: EN

Abstrakty

EN

We prove a conjecture of Wojtaszczyk that for 1 ≤ p < ∞, p ≠ 2, $H_{p}(𝕋)$ does not admit any norm one projections with dimension of the range finite and greater than 1. This implies in particular that for 1 ≤ p < ∞, p ≠ 2, $H_{p}$ does not admit a Schauder basis with constant one.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 46B20: Geometry and structure of normed linear spaces
• 46B04: Isometric theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 171
• Numer: 1
• Strony: 93-102

Daty

wydano

2005

Twórcy

autor

Florence Lancien

• Département de Mathématiques, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon, France

autor

Beata Randrianantoanina

• Department of Mathematics and Statistics, Miami University, Oxford, OH 45056, U.S.A.

autor

Eric Ricard

• Département de Mathématiques, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon, France

Identyfikatory

DOI

10.4064/sm171-1-5