Existence of some special bases in Banach spaces
P. Wojtaszczyk (1973)
Studia Mathematica
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P. Wojtaszczyk (1973)
Studia Mathematica
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C. Leránoz (1992)
Studia Mathematica
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We prove that if 0 < p < 1 then a normalized unconditional basis of a complemented subspace of must be equivalent to a permutation of a subset of the canonical unit vector basis of . In particular, has unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss, and Tzafriri have previously proved the same result for .
G. Tkebuchava (1979)
Banach Center Publications
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C. Bessaga, A. Pełczyński (1958)
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Jerzy Ryll (1978)
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L. E. Dor, T. Starbird (1979)
Compositio Mathematica
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A. Stokolos (1988)
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
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Esteban Induráin (1988)
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B. Maurey, G. Schechtman (1979)
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