Displaying similar documents to “Some curious bases for c 0 and C[0,1]”

Uniqueness of unconditional bases in c 0 -products

P. Casazza, N. Kalton (1999)

Studia Mathematica

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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 c 0 ( X ) . We also give some positive results including a simpler proof that c 0 ( 1 ) has a unique unconditional basis and a proof that c 0 ( p n N n ) has a unique unconditional basis when p n 1 , N n + 1 2 N n and ( p n - p n + 1 ) l o g N n remains bounded.