Acción dual de las copias, isométricas asintóticamente, de l (1 ≤ p < ∞) y c.
Chen Shutao, Bor-Luh Lin (1997)
Collectanea Mathematica
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Chen Shutao, Bor-Luh Lin (1997)
Collectanea Mathematica
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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Jun, Kunás K. (1971)
Portugaliae mathematica
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Jesús Bastero, Zenaida Uriz (1986)
Compositio Mathematica
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V. Meshlov (1978)
Studia Mathematica
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Yunan Cui, Henryk Hudzik (1999)
Collectanea Mathematica
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Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
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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 .
B. Maurey, A. Pełczyński (1976)
Studia Mathematica
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P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
Studia Mathematica
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We study the interplay between unconditional decompositions and the R-boundedness of collections of operators. In particular, we get several multiplier results of Marcinkiewicz type for -spaces of functions with values in a Banach space X. Furthermore, we show connections between the above-mentioned properties and geometric properties of the Banach space X.