On the structure of separable spaces (1 < p < ∞)
D. Alspach, P. Enflo, E. Odell (1977)
Studia Mathematica
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Displaying similar documents to “On projections and unconditional bases in direct sums of Banach spaces”
On the structure of separable spaces (1 < p < ∞)
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Uniqueness of unconditional bases in -products
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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 . We also give some positive results including a simpler proof that has a unique unconditional basis and a proof that has a unique unconditional basis when , and remains bounded.
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