Projections in certain Banach spaces
A. Pełczyński (1960)
Studia Mathematica
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Displaying similar documents to “Complemented subspaces of sums and products of copies of L1[0, 1].”
Projections in certain Banach spaces
On complemented subspaces and unconditional bases in
P. Wojtaszczyk (1973)
Studia Mathematica
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Subspaces of containing
P. Enflo, T. Starbird (1979)
Studia Mathematica
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On the three-space property: non-containment of l, 1 ≤ p < ∞, or c subspaces.
Juan Carlos Díaz Alcaide (1993)
Publicacions Matemàtiques
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The main result in this paper is the following: Let E be a Fréchet space having a normable subspace X isomorphic to l, 1 ≤ p < ∞, or to c. Let F be a closed subspace of E. Then either F or E/F has a subspace isomorphic to X.
Separable quotients of Banach spaces.
Jorge Mújica (1997)
Revista Matemática de la Universidad Complutense de Madrid
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In this survey we show that the separable quotient problem for Banach spaces is equivalent to several other problems for Banach space theory. We give also several partial solutions to the problem.
Absolutely summing operators in -spaces and their applications
J. Lindenstrauss, A. Pełczyński (1968)
Studia Mathematica
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Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
A. Pełczyński (1971)
Studia Mathematica
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On complemented subspaces of rearrangement invariant function spaces.
Yves Raynaud (1993)
Collectanea Mathematica
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A necessary and sufficient condition is given for a rearrangement invariant function space to contain a complemented isomorphic copy of l1(l2).
Some properties of ,0 < p < 1
W. Stiles (1972)
Studia Mathematica
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Sobczyk's theorems from A to B.
Félix Cabello Sánchez, Jesús M. Fernández Castillo, David Yost (2000)
Extracta Mathematicae
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Sobczyk's theorem is usually stated as: . Nevertheless, our understanding is not complete until we also recall: . Now the limits of the phenomenon are set: although c is complemented in separable superspaces, it is not necessarily complemented in a non-separable superspace, such as l.