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

Ed Dubinsky; A. Pełczyński; H. Rosenthal

Displaying similar documents to “On Banach spaces X for which $Π_{2} (ℒ_{\infty}, X) = B (ℒ_{\infty}, X)$ ”

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 a result of K.M. Saidukov

Jun, Kunás K. (1971)

Portugaliae mathematica

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On unconditional bases in certain Banach function spaces

J. Shirey, R. Zink (1970)

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Acción dual de las copias, isométricas asintóticamente, de l (1 ≤ p < ∞) y c.

Chen Shutao, Bor-Luh Lin (1997)

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On bases and unconditional convergence of series in Banach spaces

C. Bessaga, A. Pełczyński (1958)

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A criterion for compositions of (p,q)-absolutely summing operators to be compact

B. Maurey, A. Pełczyński (1976)

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Some remarks on symmetric basic sequences in L1

B. Maurey, G. Schechtman (1979)

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Asymptotically isometric copies of c and l in quotients of Banach spaces.

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.

Projections of $L_{p}$ onto subspaces spanned by independent random variables

L. E. Dor, T. Starbird (1979)

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Schauder decompositions and multiplier theorems

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 $L^{p}$ -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 “On Banach spaces X for which Π 2 ( ℒ ∞ , X ) = B ( ℒ ∞ , X ) ”

Displaying similar documents to “On Banach spaces X for which $Π_{2} (ℒ_{\infty}, X) = B (ℒ_{\infty}, X)$ ”