Some remarks on symmetric basic sequences in L1
B. Maurey, G. Schechtman (1979)
Compositio Mathematica
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Displaying similar documents to “Projections of onto subspaces spanned by independent random variables”
Some remarks on symmetric basic sequences in L1
Subspaces of which embed into
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On unconditional bases in certain Banach function spaces
J. Shirey, R. Zink (1970)
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Uniqueness of unconditional bases of , 0 < p < 1
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 .
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C. Bessaga, A. Pełczyński (1958)
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On weighted James' spaces.
M. Angeles Miñarro (1996)
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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.
Schauder decompositions and multiplier theorems
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.