Semi-algèbres fermées semi-réticulées inférieurement des espaces
Semi-continuous linear lattices
Séparation des mesures de Radon sur un convexe par les fonctions convexes continues bornées
Separation of two convex sets by operators
Separation theorems for sets in product spaces and equivalent assertions
Sequential convergences in a vector lattice
In the present paper we deal with sequential convergences on a vector lattice which are compatible with the structure of .
Sobre topologías localmente convexas en espacios de sucesiones.
This paper deals with locally convex topological sequence spaces. We first consider solid topologies in order to obtain some results that will be useful later. The main part of this paper is devoted to a detailed study of the normal topology of a dual pair of sequence spaces. We obtain criterions for this topology to be normable or metrizable, and conditions under which it coincides with the Mackey topology on echelon and coechelon spaces of order p. Finally we use the former results on solid topologies...
Some Characterizations of AM- and AL-Spaces.
Some characterizations of order weakly compact operator
We introduce the notion of order weakly sequentially continuous lattice operations of a Banach lattice, use it to generalize a result regarding the characterization of order weakly compact operators, and establish its converse. Also, we derive some interesting consequences.
Some characterizations of weakly compact operator on Banach lattices
We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
Some classes of Banach bundles with continuous weakly continuous sections.
Some Classes of Locally Convex Riesz Spaces
Some consequences of a kind of Hahn-Banach's theorem
Some possibilities in solving operator equations using non stationary iterative method
Some properties of regular bilinear operators.
Some properties of short exact sequences of locally convex Riesz spaces
We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems. We show that in the richer structure there are more positive answers than in the category of locally convex spaces.
Some properties of weak Banach-Saks operators
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, L-weakly compact; respectively, M-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
Some remarks on orthomorphisms
Some results on order weakly compact operators
We establish some properties of the class of order weakly compact operators on Banach lattices. As consequences, we obtain some characterizations of Banach lattices with order continuous norms or whose topological duals have order continuous norms.
Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.