English

A Conditional Quasi-greedy Basis of l_1

Functional Analysis 2007-05-23 v1

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.

Cite

@article{arxiv.math/0008101,
  title  = {A Conditional Quasi-greedy Basis of l_1},
  author = {S. J. Dilworth and David Mitra},
  journal= {arXiv preprint arXiv:math/0008101},
  year   = {2007}
}

Comments

LaTex, 7 pages

R2 v1 2026-07-22T16:34:11.500Z