Théorème de préparation différentiable ultramétrique, II
Théorèmes sur le prolongement analytique du type «edge of the wedge theorem»
Theorems of Krein Milman type for certain convex sets of functions operators
Sufficient conditions are given in order that, for a bounded closed convex subset of a locally convex space , the set of continuous functions from the compact space into , is the uniformly closed convex hull in of its extreme points. Applications are made to the unit ball of bounded (or compact, or weakly compact) operators from certain Banach spaces into .
Tightness of compact spaces is preserved by the -equivalence relation
We prove that if there is an open mapping from a subspace of onto , then is a countable union of images of closed subspaces of finite powers of under finite-valued upper semicontinuous mappings. This allows, in particular, to prove that if and are -equivalent compact spaces, then and have the same tightness, and that, assuming , if and are -equivalent compact spaces and is sequential, then is sequential.
Timan's Formula for the Deviation of Hölder Functions.
Topological tensor products and asymptotic developments
Topologies faciales dans les convexes compacts ; calcul fonctionnel et décomposition spectrale dans le centre d’un espace
Topologies sur et
Über die Kategorie der Menge stetiger Funktionen, welche Differentialgleichungen ohne Eindeutigkeit bestimmen
Über die Lp-Struktur in A(K)-Räumen.
Über die ...-Reflexivität von C...(X)
Über getragene vektorwertige analytische Funktionale.
Un survol des applications actuelles du calcul différentiel dans les espaces bornologiques
Un théorème de fonctions implicites. Applications
On énonce un théorème de fonctions implicites du type de Nash-Moser, et on indique une application à l’étude des singularités de fonctions différentiables réelles (problème du déploiement universel de Thom).
Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
Una nota sobre espacios de funciones continuas con valores vectoriales.
Una nota sobre espacios hiperplano-Baire.
Una representación del espacio Cok (Ω,E).
Universal zero solutions of linear partial differential operators
A generalized approach to several universality results is given by replacing holomorphic or harmonic functions by zero solutions of arbitrary linear partial differential operators. Instead of the approximation theorems of Runge and others, we use an approximation theorem of Hörmander.
Weakly Compact Operators and the Dunford-Pettis Property on Uniform Spaces