Geodesic
Uniqueness of unconditional bases in $c_0$-products
Studia Mathematica, Tome 133 (1999) no. 3, pp. 275-294

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $c_0(X)$. We also give some positive results including a simpler proof that $c_0(ℓ_1)$ has a unique unconditional basis and a proof that $c_0(ℓ_{p_n}^{N_n})$ has a unique unconditional basis when $p_n ￬ 1$, $N_{n+1} ≥ 2N_{n}$ and $(p_n-p_{n+1}) logN_{n}$ remains bounded.
DOI : 10.4064/sm-133-3-275-294

P. Casazza 1 ;  1

1 
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P. Casazza;  . Uniqueness of unconditional bases in $c_0$-products. Studia Mathematica, Tome 133 (1999) no. 3, pp. 275-294. doi: 10.4064/sm-133-3-275-294

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