Reflexivity and Completeness in Vector-Lattices.
Regular vector lattices of continuous functions and Korovkin-type theorems-Part I
We introduce and study a new class of locally convex vector lattices of continuous functions on a locally compact Hausdorff space, which we call regular vector lattices. We investigate some general properties of these spaces and of the subspaces of so-called generalized affine functions. Moreover, we present some Korovkin-type theorems for continuous positive linear operators; in particular, we study Korovkin subspaces for finitely defined operators, for the identity operator and for positive...
Relation between order and topology in vector spaces. The completion of locally (O)-Symmetric spaces
Relationship between Order Completeness and Topological Completeness.
Remark on analytic functions in ordered spaces
Remarks on the solvability and nonsolvability of weakly nonlinear equations
Representation and duality of multiplication operators on archimedean Riesz spaces
Représentation des mesures coniques.
Representation of Baire functions as continuous functions
Representation theorem for convex effect algebras
Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Représentations des espaces vectoriels réticulés
Representations of Riesz spaces as spaces of measures. I
Representations of Riesz spaces as spaces of measures. II
Representations of topological projector dense lattice algebras
Resolving Banach spaces
Résultats récents sur les formes positives sur des espaces de fonctions
Retracts of abelian cyclically ordered groups
Richesses du centre d'un espace vectoriel réticulé.
Riesz spaces and the ultrafilter theorem, I