Projections of onto subspaces spanned by independent random variables
L. E. Dor, T. Starbird (1979)
Compositio Mathematica
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L. E. Dor, T. Starbird (1979)
Compositio Mathematica
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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B. Maurey, G. Schechtman (1979)
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Jørgen Hoffmann-Jørgensen (1974)
Studia Mathematica
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J.C. Ferrando (2009)
RACSAM
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Jun, Kunás K. (1971)
Portugaliae mathematica
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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 .
Alfréd Rényi, E. Zergényi (1956)
Czechoslovak Mathematical Journal
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