A criterion for compositions of (p,q)-absolutely summing operators to be compact
B. Maurey, A. Pełczyński (1976)
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B. Maurey, A. Pełczyński (1976)
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
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Nicole Tomczak-Jaegermann (1974)
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V. Meshlov (1978)
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J. Morrell, J. Retherford (1972)
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Chen Shutao, Bor-Luh Lin (1997)
Collectanea Mathematica
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Stanisław Kwapień, Stanisław Szarek (1979)
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Robert James (1977)
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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 .
C. Piñeiro (1994)
Collectanea Mathematica
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I. J. Maddox (1974)
Compositio Mathematica
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