Uniqueness of unconditional bases in c0-products
Casazza, P. ; Kalton, N.
Studia Mathematica, Tome 133 (1999), p. 275-294 / Harvested from The Polish Digital Mathematics Library
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We give counterexamples to a conjecture of Bourgain, Casazza, Lindenstrauss and Tzafriri that if X has a unique unconditional basis (up to permutation) then so does c0(X). We also give some positive results including a simpler proof that c0(ℓ1) has a unique unconditional basis and a proof that c0(ℓpnNn) has a unique unconditional basis when pn￬1, Nn+1≥2Nn and (pn-pn+1)logNn remains bounded.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216619 
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     year = {1999},
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     zbl = {0939.46010},
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Casazza, P.; Kalton, N. Uniqueness of unconditional bases in $c_0$-products. Studia Mathematica, Tome 133 (1999) pp. 275-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i3p275bwm/

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