A conditional quasi-greedy basis of l₁
S. J. Dilworth ; David Mitra
Studia Mathematica, Tome 147 (2001), p. 95-100 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:285270 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-1-4,
     author = {S. J. Dilworth and David Mitra},
     title = {A conditional quasi-greedy basis of l1},
     journal = {Studia Mathematica},
     volume = {147},
     year = {2001},
     pages = {95-100},
     zbl = {0974.46013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-1-4}
}

S. J. Dilworth; David Mitra. A conditional quasi-greedy basis of l₁. Studia Mathematica, Tome 147 (2001) pp. 95-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-1-4/