Second order differentiability and Lipschitz smooth points of convex functionals
Singlevaluedness of monotone operators on subspaces of GSG spaces
We extend Zajíček’s theorem from [Za] about points of singlevaluedness of monotone operators on Asplund spaces. Namely we prove that every monotone operator on a subspace of a Banach space containing densely a continuous image of an Asplund space (these spaces are called GSG spaces) is singlevalued on the whole space except a -cone supported set.
Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
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