Subspaces of which do not contain -isomorphically
Subspaces of ℓ₂(X) and Rad(X) without local unconditional structure
It is shown that if a Banach space X is not isomorphic to a Hilbert space then the spaces ℓ₂(X) and Rad(X) contain a subspace Z without local unconditional structure, and therefore without an unconditional basis. Moreover, if X is of cotype r < ∞, then a subspace Z of ℓ₂(X) can be constructed without local unconditional structure but with 2-dimensional unconditional decomposition, hence also with basis.
Subspaces of the Bourgain-Delbaen space
It is shown that every infinite-dimensional closed subspace of the Bourgain-Delbaen space has a subspace isomorphic to some .
Subsystems of the Schauder system whose orthonormalizations are Schauder bases for
Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs
Suites écartables dans les espaces de Banach
Summable subsequences in convergence groups
Sur les espaces qui ne contiennent pas de uniformément
Sur les inégalités GKS
Sur les sous-espaces des espaces de Banach à base inconditionnelle, d'après Feder
Sur les suites orthonormaux dans des espaces normés
Sur une propriété des suites asymptotiquement inconditionnelles
Symmetric bases in Minkowski spaces
Symmetric function spaces on atomless probability spaces [Book]
Symmetric structures in some Banach lattices
Système de Haar
Système de Haar (suite et fin)
The approximation property of order (p,q) in Banach spaces.
The Banach-Saks property in rearrangement invariant spaces
This paper studies the Banach-Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space E with the Fatou property has the Banach-Saks property if and only if E has the Banach-Saks property for disjointly supported sequences. We show further that for Orlicz and Lorentz spaces, the Banach-Saks property is equivalent to separability although the separable parts of some Marcinkiewicz spaces fail the...
The basis properties of power systems in .