Some results on symmetric subspaces of
Some results on the class of -unbounded Dunford-Pettis operators
We introduce and study the class of unbounded Dunford--Pettis operators. As consequences, we give basic properties and derive interesting results about the duality, domination problem and relationship with other known classes of operators.
Some results on the span of families of Banach valued independent, random variables.
Some stability results for asymptotic norming properties of Banach spaces
Some strongly bounded classes of Banach spaces
We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach space.
Some Structures Related to Metric Projections in Orlicz Spaces
We discuss k-rotundity, weak k-rotundity, C-k-rotundity, weak C-k-rotundity, k-nearly uniform convexity, k-β property, C-I property, C-II property, C-III property and nearly uniform convexity both pointwise and global in Orlicz function spaces equipped with Luxemburg norm. Applications to continuity for the metric projection at a given point are given in Orlicz function spaces with Luxemburg norm.
Some sufficient conditions for fixed points of multivalued nonexpansive mappings.
Some topological and geometrical properties of a new difference sequence space.
Some translation-invariant Banach function spaces which contain c₀
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c₀.
Some type of rotational scheme.
Some version of Gowers' dichotomy for Banach spaces.
Somme Ponctuelle D'operateurs Maximaux Monotones Pointwise Sum of two Maximal Monotone Operators
∗ Cette recherche a été partiellement subventionnée, en ce qui concerne le premier et le dernier auteur, par la bourse OTAN CRG 960360 et pour le second auteur par l’Action Intégrée 95/0849 entre les universités de Marrakech, Rabat et Montpellier.The primary goal of this paper is to shed some light on the maximality of the pointwise sum of two maximal monotone operators. The interesting purpose is to extend some recent results of Attouch, Moudafi and Riahi on the graph-convergence of maximal monotone...
Sous-espaces complémentés isomorphes à c... dans les produits tensoriels de Saphar.
Sous-espaces invariants dans les espaces de Banach : quelques résultats positifs
Sous-espaces invariants de type fonctionnel dans les espaces de Banach
Sous-espaces complémentés dans un espace à base inconditionnelle, d’après L. Tzafriri
Sous-espaces des espaces de Banach
Sous-espaces symétriques des espaces d'Orlicz
Spaces and on - groups.
Spaces of compact operators on spaces
We classify, up to isomorphism, the spaces of compact operators (E,F), where E and F are the Banach spaces of all continuous functions defined on the compact spaces , the topological products of Cantor cubes and intervals of ordinal numbers [0,α].