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.
@article{hal-00124343,
author = {Ricard, \'Eric},
title = {H^1 n'a pas de base compl\`etement inconditionnelle},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00124343}
}
Ricard, Éric. H^1 n'a pas de base complètement inconditionnelle. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00124343/