On projections and unconditional bases in direct sums of Banach spaces
I. Edelstein, P. Wojtaszczyk (1976)
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I. Edelstein, P. Wojtaszczyk (1976)
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P. Wojtaszczyk (1973)
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A. Pełczyński (1960)
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William Johnson (1974)
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W. B. Johnson (1977)
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W. Johnson, H. Rosenthal (1972)
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William Davis, David Dean (1967)
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P. Casazza, N. Kalton (1999)
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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.
W. B. Johnson (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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