Existence of some special bases in Banach spaces
P. Wojtaszczyk (1973)
Studia Mathematica
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P. Wojtaszczyk (1973)
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A. Stokolos (1988)
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J. Shirey, R. Zink (1970)
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Esteban Induráin (1988)
Collectanea Mathematica
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Stanisław Kwapień, Stanisław Szarek (1979)
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C. Leránoz (1992)
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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 .
B. Maurey, G. Schechtman (1979)
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Z. Ciesielski (1966)
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A. Pełczyński, I. Singer (1964)
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Lee Baric, W. Ruckle (1967)
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