On Banach spaces X for which
Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
Studia Mathematica
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Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)
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P. Clément, B. de Pagter, F. Sukochev, H. Witvliet (2000)
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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.
Chen Shutao, Bor-Luh Lin (1997)
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Bertin Diarra (1995)
Annales mathématiques Blaise Pascal
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Jesús Bastero, Zenaida Uriz (1986)
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I. J. Maddox (1974)
Compositio Mathematica
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B. Maurey, A. Pełczyński (1976)
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Chen Dongyang (2004)
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Let X be a real Banach space that does not contain a copy of l. Then X* contains asymptotically isometric copies of l if and only if X has a quotient which is asymptotically isometric to c.
Krzysztof Jarosz (1987)
Studia Mathematica
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