Subspaces of $L_p$ which embed into $l_p$

W. B. Johnson; E. Odell

Displaying similar documents to “Subspaces of $L_{p}$ which embed into $l_{p}$ ”

Some linear topological properties of the spaces $C_{p}$ of operators on Hilbert space

J. Arazy, J. Lindenstrauss (1975)

Compositio Mathematica

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On bases and unconditional convergence of series in Banach spaces

C. Bessaga, A. Pełczyński (1958)

Studia Mathematica

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Some remarks on symmetric basic sequences in L1

B. Maurey, G. Schechtman (1979)

Compositio Mathematica

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

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

Compositio Mathematica

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Some properties of the space (s)

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

Colloquium Mathematicae

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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 the complemented subspaces of the Schreier spaces

I. Gasparis, D. Leung (2000)

Studia Mathematica

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It is shown that for every 1 ≤ ξ < ω, two subspaces of the Schreier space $X^{ξ}$ generated by subsequences $(e_{l_{n}}^{ξ})$ and $(e_{m_{n}}^{ξ})$ , respectively, of the natural Schauder basis $(e_{n}^{ξ})$ of $X^{ξ}$ are isomorphic if and only if $(e_{l_{n}}^{ξ})$ and $(e_{m_{n}}^{ξ})$ are equivalent. Further, $X^{ξ}$ admits a continuum of mutually incomparable complemented subspaces spanned by subsequences of $(e_{n}^{ξ})$ . It is also shown that there exists a complemented subspace spanned by a block basis of $(e_{n}^{ξ})$ , which is not isomorphic to a subspace generated by a subsequence of $(e_{n}^{ζ})$ ,...

A normalized weakly null sequence with no shrinking subsequence in a Banach space not containing $ℓ_{1}$

E. Odell (1980)

Compositio Mathematica

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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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Displaying similar documents to “Subspaces of L p which embed into l p ”

Displaying similar documents to “Subspaces of $L_{p}$ which embed into $l_{p}$ ”