A Conditional Quasi-greedy Basis of l₁

2000/08/15 by S. J. Dilworth, Dilworth, S. J., David Mitra +1
Mathematics · #46B04 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46B04

paper · pdf · doi:10.48550/arxiv.math/0008101

LaTex, 7 pages

arxiv created 2000/08/15 · arxiv updated 2009/11/30

Abstract

We show that the Lindenstrauss basic sequence in l₁ may be used to construct a conditional quasi-greedy basis of l₁, thus answering a question of Wojtaszczyk. We further show that the sequence of coefficient functionals for this basis is not quasi-greedy.

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