A conditional quasi-greedy basis of l(1)

Authors
Dilworth, SJ Mitra, D
Citation
Sj. Dilworth et D. Mitra, A conditional quasi-greedy basis of l(1), STUD MATH, 144(1), 2001, pp. 95-100
Citations number
5
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223 → ACNP
Volume
144
Issue
1
Year of publication
2001
Pages
95 - 100
Database
ISI
SICI code
0039-3223(2001)144:1<95:ACQBOL>2.0.ZU;2-J
Abstract
We show that the Lindenstrauss basic sequence in iota (1) may be used to co nstruct a conditional quasi-greedy basis of iota (1), thus answering a ques tion of Wojtaszczyk. We further show that the sequence of coefficient funct ionals for this basis is not quasi-greedy.