Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
Some fixed point theorems in metric and Banach spaces
Some recent results concerning weak Asplund spaces
Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings
The paper contains calculus rules for coderivatives of compositions, sums and intersections of set-valued mappings. The types of coderivatives considered correspond to Dini-Hadamard and limiting Dini-Hadamard subdifferentials in Gˆateaux differentiable spaces, Fréchet and limiting Fréchet subdifferentials in Asplund spaces and approximate subdifferentials in arbitrary Banach spaces. The key element of the unified approach to obtaining various calculus rules for various types of derivatives presented...
Sulla differenziabilità di un operatore legato a una classe di sistemi differenziali quasi-lineari
Supergeneric results and Gateâux differentiability of convex and Lipschitz functions on small sets
Sur la dérivation de Lie dans les variétés de Banach
Sur le calcul différentiel dans les espaces vectoriels topologiques
Sur les applications différentiables et analytiques au sens de J. Sebastião e Silva
Sur les Distributions Images Réciproques par une Fonction analytique
Tangent sets and differentiable functions
The compositions of differential operations and the Gâteaux directional derivative.
The metric regularity of polynomial functions in one or several variables.
The topological complexity of sets of convex differentiable functions.
Let C(X) be the set of all convex and continuous functions on a separable infinite dimensional Banach space X, equipped with the topology of uniform convergence on bounded subsets of X. We show that the subset of all convex Fréchet-differentiable functions on X, and the subset of all (not necessarily equivalent) Fréchet-differentiable norms on X, reduce every coanalytic set, in particular they are not Borel-sets.
Theory of Fréchet cones
Theory of Frechet cones and nonlinear analysis
Two Natural Metrics and Their Covariant Derivatives on a Manifold of Embeddings.
Über nichtlineare Spektral- und Störungstheorie.
Un survol des applications actuelles du calcul différentiel dans les espaces bornologiques
Un teorema de extensión de Whitney en dimensión infinita y clase p.
Se prueba que si f es una aplicación de clase p en un abierto de un cuadrante de un espacio de Banach real, entonces en cada punto del abierto, f admite una extensión de clase p a un entorno global de dicho punto.Se utiliza este resultado para establecer un teorema de extensión de Whitney en un cuadrante de un espacio de Banach y un teorema de la función inversa en variedades con borde anguloso.