A Conditional Quasi-greedy Basis of l_1

Mathematics – Functional Analysis

Scientific paper

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LaTex, 7 pages

Scientific paper

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.

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