The space H-1 does not have any completely unconditional basis

Authors
Ricard, E
Citation
E. Ricard, The space H-1 does not have any completely unconditional basis, CR AC S I, 331(8), 2000, pp. 625-628
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
8
Year of publication
2000
Pages
625 - 628
Database
ISI
SICI code
0764-4442(20001015)331:8<625:TSHDNH>2.0.ZU;2-A
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 uncondi tional decomposition of the identity, as a consequence it fails to have a c ompletely unconditional basis. (C) 2000 Academie des sciences/Editions scie ntifiques et medicales Elsevier SAS.