Parametric monotone generalized equations in reflexive Banach spaces.
Polyhomogeneous Maps and Best Local Approximations of Degree ... .
Précontinuité et topologie de Mackey sur un espace vectoriel topologique ; espaces prétonnelés
Problems concerning weak Asplund spaces
Product rule and chain rule estimates for the Hajłasz gradient on doubling metric measure spaces
We use the Calderón Maximal Function to prove the Kato-Ponce Product Rule Estimate and the Christ-Weinstein Chain Rule Estimate for the Hajłasz gradient on doubling measure metric spaces.
Projections, extendability of operators and the Gâteaux derivative of the norm.
Propriété de Radon-Nikodym
Quelques applications des fonctions implicites dans les espaces bornologiques
Radon-Nikodym property
For a Banach space and a probability space , a new proof is given that a measure , with , has RN derivative with respect to iff there is a compact or a weakly compact such that is a finite valued countably additive measure. Here we define where is a finite disjoint collection of elements from , each contained in , and satisfies . Then the result is extended to the case when is a Frechet space.
Remarks of germs in infinite dimensions.
Remarks on delta-convex functions
Remarks on Fréchet differentiability of pointwise Lipschitz, cone-monotone and quasiconvex functions
We present some consequences of a deep result of J. Lindenstrauss and D. Preiss on -almost everywhere Fréchet differentiability of Lipschitz functions on (and similar Banach spaces). For example, in these spaces, every continuous real function is Fréchet differentiable at -almost every at which it is Gâteaux differentiable. Another interesting consequences say that both cone-monotone functions and continuous quasiconvex functions on these spaces are -almost everywhere Fréchet differentiable....
Remarks on subdifferentials of convex functionals
Résultats récents sur les formes positives sur des espaces de fonctions
Rolle's theorem and negligibility of points in infinite dimensional Banach spaces.
Schauder Type Theorems for Differentiable and Holomorphic Mappings.
Second order differentiability and Lipschitz smooth points of convex functionals
Second order differentiability of integral functionals on Sobolev spaces and L2-spaces.
Semidifferential calculus.
Semireflexive Spaces In Which The Theorem On The Derivative-Of-The-Inverse Fails For Frechet Derivatives.