Intersections of closed balls and geometry of Banach spaces.
Isometric embeddings of a class of separable metric spaces into Banach spaces
Let be a bounded countable metric space and a constant, such that , for any pairwise distinct points of . For such metric spaces we prove that they can be isometrically embedded into any Banach space containing an isomorphic copy of .
Isometrien in normierten Räumen.
Isometries on linear -normed spaces.
Isomorphic properties in spaces of compact operators
We introduce the definition of -limited completely continuous operators, . The question of whether a space of operators has the property that every -limited subset is relative compact when the dual of the domain and the codomain have this property is studied using -limited completely continuous evaluation operators.
Isomorphism of certain weak spaces
It is shown that the weak spaces , and are isomorphic as Banach spaces.
JB*-triples have Pelczynski's Property V.
-convexity and duality for almost summing operators.
Kadec norms and Borel sets in a Banach space
We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.
Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.
The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.
König-Witstock quasi-norms on quasi-Banach spaces.
-limited-like properties on Banach spaces
We study weakly precompact sets and operators. We show that an operator is weakly precompact if and only if its adjoint is pseudo weakly compact. We study Banach spaces with the --limited and the -(SR) properties and characterize these classes of Banach spaces in terms of --limited and -Right subsets. The --limited property is studied in some spaces of operators.
La Fonctionnelle g Et Queloques Problèmes Des Meilleures Approximations Dans Des Espaces Normés
La loi du logarithme itéré bornée dans les espaces de Banach
La structure des sous-espaces de treillis [Book]
Las propiedades (Lβ) y (sβ) en un espacio de Banach.
Le groupe des isométries d'un espace de Banach
Les espaces faiblement lisses et les espaces strictement quadratiques
Les points extremes et les points unis de la boule unitée étudiés au moyen du semi-produit scalaire
Lévy-Khinchine representation and Banach spaces of type and cotype