A criterion for compositions of (p,q)-absolutely summing operators to be compact
B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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Jun, Kunás K. (1971)
Portugaliae mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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A. Stokolos (1988)
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 .
Haskell Rosenthal (1971)
Studia Mathematica
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M. Angeles Miñarro (1996)
Collectanea Mathematica
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In this note we study the topological structure of weighted James spaces J(h). In particular we prove that J(h) is isomorphic to J if and only if the weight h is bounded. We also provide a description of J(h) if the weight is a non-decreasing sequence.
Stanisław Kwapień, Stanisław Szarek (1979)
Studia Mathematica
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L. Włodarski (1963)
Colloquium Mathematicae
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V. Meshlov (1978)
Studia Mathematica
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