A conditional quasi-greedy basis of $l_1$
Volume 144 / 2001
Studia Mathematica 144 (2001), 95-100
MSC: Primary 46B15.
DOI: 10.4064/sm144-1-4
Abstract
We show that the Lindenstrauss basic sequence in $l_1$ may be used to construct a conditional quasi-greedy basis of $l_1$, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.
