Projections of $L_p$ onto subspaces spanned by independent random variables

L. E. Dor; T. Starbird

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Some remarks on symmetric basic sequences in L1

B. Maurey, G. Schechtman (1979)

Compositio Mathematica

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Subspaces of $L_{p}$ which embed into $l_{p}$

W. B. Johnson, E. Odell (1974)

Compositio Mathematica

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On unconditional bases in certain Banach function spaces

J. Shirey, R. Zink (1970)

Studia Mathematica

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Uniqueness of unconditional bases of $c_{0} (l_{p})$ , 0 < p < 1

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 $c_{0} (l_{p})$ must be equivalent to a permutation of a subset of the canonical unit vector basis of $c_{0} (l_{p})$ . In particular, $c_{0} (l_{p})$ has unique unconditional basis up to permutation. Bourgain, Casazza, Lindenstrauss, and Tzafriri have previously proved the same result for $c_{0} (l ₁)$ .

On bases and unconditional convergence of series in Banach spaces

C. Bessaga, A. Pełczyński (1958)

Studia Mathematica

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On the differentiation of integrals of functions from Lφ(L)

A. Stokolos (1988)

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On Banach spaces X for which $Π_{2} (ℒ_{\infty}, X) = B (ℒ_{\infty}, X)$

Ed Dubinsky, A. Pełczyński, H. Rosenthal (1972)

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Some properties of the space (s)

C. Bessaga, A. Pełczyński, Stefan Rolewicz (1959)

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On weighted James' spaces.

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.

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 $L^{p}$ -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.

Displaying similar documents to “Projections of L p onto subspaces spanned by independent random variables”

Displaying similar documents to “Projections of $L_{p}$ onto subspaces spanned by independent random variables”