On contractive projections in Hardy spaces
Functional Analysis
2016-08-16 v1 Complex Variables
Abstract
We prove a conjecture of Wojtaszczyk that for , , does not admit any norm one projections with dimension of the range finite and bigger than 1. This implies in particular that for , , does not admit a Schauder basis with constant one.
Keywords
Cite
@article{arxiv.math/0504294,
title = {On contractive projections in Hardy spaces},
author = {Florence Lancien and Beata Randrianantoanina and Eric Ricard},
journal= {arXiv preprint arXiv:math/0504294},
year = {2016}
}
Comments
9 pages, to appear in Studia Mathematica