Stronger estimates of smallness of sets of Frechet nondifferentiability of convex functions
Suites écartables dans les espaces de Banach
Superreflexivity and -convexity of Banach spaces.
Supertauberian operators and perturbations.
Upper semi-Fredholm operators and tauberian operators in Banach spaces admit the following perturbative characterizations [6], [2]: An operator T: X --> Y is upper semi-Fredholm (tauberian) if and only if for every compact operator K: X --> Y the kernel N(T+K) is finite dimensional (reflexive). In [7] Tacon introduces an intermediate class between upper semi-Fredholm operators and tauberian operators, the supertauberian operators, and he studies this class using non-standard analysis....
Sur la décomposition orthogonale du vecteur dans certains espaces de Banach
Sur la réflexivité des produits tensoriels et les sous-espaces des produits tensoriels projectifs.
Sur les espaces de Banach ne contenant pas l...(N).
Sur les espaces qui ne contiennent pas de uniformément
Sur l'existence d'une topologie du type de Sazonov sur un espace de Banach
Tauberian operators on spaces of integrable functions.
The bidual of the space of polynomials on a Banach space.
The Compact Approximation Property does not imply the Approximation Property
It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.
The controlled separable projection property for Banach spaces
Let X, Y be two Banach spaces. We say that Y is a quasi-quotient of X if there is a continuous operator R: X → Y such that its range, R(X), is dense in Y. Let X be a nonseparable Banach space, and let U, W be closed subspaces of X and Y, respectively. We prove that if X has the Controlled Separable Projection Property (CSPP) (this is a weaker notion than the WCG property) and Y is a quasi-quotient of X, then the structure of Y resembles the structure of a separable Banach space: (a) Y/W is norm-separable...
The Dual Ball of a Lindenstrauss Space.
The dual space of the sequence space .
The functionals of the kind of Banach limits.
The heredity problem for weakly compactly generated Banach spaces
The Kreps-Yan theorem for Banach ideal spaces.
The problem and degrees of non-reflexivity
The problem and degrees of non-reflexivity (II)