Geodesic
A conditional quasi-greedy basis of $l_1$
S. J. Dilworth1 ; David Mitra1
1Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A.
Studia Mathematica, Tome 144 (2001) no. 1, pp. 95-100
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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.
DOI : 10.4064/sm144-1-4
Keywords: lindenstrauss basic sequence may construct conditional quasi greedy basis answering question wojtaszczyk further sequence coefficient functionals basis quasi greedy

S. J. Dilworth  1   ; David Mitra  1

1 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A. 
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S. J. Dilworth; David Mitra. A conditional quasi-greedy basis of $l_1$. Studia Mathematica, Tome 144 (2001) no. 1, pp. 95-100. doi: 10.4064/sm144-1-4

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