A conditional quasi-greedy basis of $l_1$
Studia Mathematica, Tome 144 (2001) no. 1, pp. 95-100
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
lindenstrauss basic sequence may construct conditional quasi greedy basis answering question wojtaszczyk further sequence coefficient functionals basis quasi greedy
Affiliations des auteurs :
S. J. Dilworth 1 ; David Mitra 1
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author = {S. J. Dilworth and David Mitra},
title = {A conditional quasi-greedy basis of $l_1$},
journal = {Studia Mathematica},
pages = {95--100},
publisher = {mathdoc},
volume = {144},
number = {1},
year = {2001},
doi = {10.4064/sm144-1-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm144-1-4/}
}
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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