English

H^1 n'a pas de base compl\`etement inconditionnelle

Functional Analysis 2009-10-31 v1 Operator Algebras

Abstract

Let H^1 be the classical Hardy space of analytic functions on the unit disc. We show that this space does not admit any finite rank completely unconditional decomposition of the identity.

Keywords

Cite

@article{arxiv.math/0009073,
  title  = {H^1 n'a pas de base compl\`etement inconditionnelle},
  author = {Éric Ricard},
  journal= {arXiv preprint arXiv:math/0009073},
  year   = {2009}
}
R2 v1 2026-07-22T16:34:37.251Z