On semi-inner product spaces, II
On some ergodic properties for continuous and affine functions
Two problems posed by Choquet and Foias are solved:(i) Let be a positive linear operator on the space of continuous real-valued functions on a compact Hausdorff space . It is shown that if converges pointwise to a continuous limit, then the convergence is uniform on .(ii) An example is given of a Choquet simplex and a positive linear operator on the space of continuous affine real-valued functions on , such thatfor each in , but does not converge to 0.
On some properties of hyperconvex spaces.
On subdifferential calculus and duality in non-convex optimization
On the Permanence of the Hahn-Banach Property in Bornology
Points extrémaux et propriétés de Radon-Nikodym dans les espaces de Fréchet dentables
Pseudo-valuation and pseudo norm
Quasibarrelled and bornological vector groups
Quelques curieuses topologies sur et
Pour tout compact complètement régulier , on désigne par l’espace des mesures de Radon sur le compactifié de Stone-Cech de et par son sous-espace formé des mesures -régulières au sens de Varadarajan. On décrit alors sur ces deux espaces des topologies , , qui possèdent des propriétés curieuses parmi lesquelles il convient de citer la suivante : pour et pour tout non pseudocompact, l’espace est non quasi-complet mais ses précompacts sont relativement compacts. Ce résultat permet...
Quelques propriétés des espaces à bornés
Quotient Banach spaces
Quotient Banach spaces; Multilinear theory
Representing and absolutely representing systems
We introduce various classes of representing systems in linear topological spaces and investigate their connections in spaces with different topological properties. Let us cite a typical result of the paper. If H is a weakly separated sequentially separable linear topological space then there is a representing system in H which is not absolutely representing.
Seminorm generating relations and their Minkowski functionals.
Séparation forte -branlante de deux convexes
Separation of two convex sets by operators
Separation theorems for sets in product spaces and equivalent assertions
Some observations on local uniform boundedness principles
Some observations on local uniform boundedness principles. II
Stability of ultraproducts of linear topological spaces