Méthode de descente sur un fermé non convexe
Méthode fonctionnelle en théorie des champs
Méthode générale de construction de fonctions spline
Méthodes de factorisation dans les problèmes de convexité
Méthodes de réalisation de produit scalaire et de problème de moments avec maximisation d'entropie
We develop several methods of realization of scalar product and generalized moment problems. Constructions are made by use of a Hilbertian method or a fixed point method. The constructed solutions are rational fractions and exponentials of polynomials. They are connected to entropy maximization. We give the general form of the maximizing solution. We show how it is deduced from the maximizing solution of the algebraic moment problem.
Méthodes pour des équations aux dérivées partielles dépendant d’une infinité de variables
Méthodes opérationnelles dans l'étude des problèmes aux limites
Metric domains, holomorphic mappings and nonlinear semigroups.
Metric entropy of convex hulls in Hilbert spaces
Let T be a precompact subset of a Hilbert space. We estimate the metric entropy of co(T), the convex hull of T, by quantities originating in the theory of majorizing measures. In a similar way, estimates of the Gelfand width are provided. As an application we get upper bounds for the entropy of co(T), , , by functions of the ’s only. This partially answers a question raised by K. Ball and A. Pajor (cf. [1]). Our estimates turn out to be optimal in the case of slowly decreasing sequences .
Metric fixed point theory for multivalued mappings [Book]
Metric properties of a tensor norm defined by spaces and some characteristics of its associated operator ideals.
Metric spaces admitting only trivial weak contractions
If (X,d) is a metric space then a map f: X → X is defined to be a weak contraction if d(f(x),f(y)) < d(x,y) for all x,y ∈ X, x ≠ y. We determine the simplest non-closed sets X ⊆ ℝⁿ in the sense of descriptive set-theoretic complexity such that every weak contraction f: X → X is constant. In order to do so, we prove that there exists a non-closed set F ⊆ ℝ such that every weak contraction f: F → F is constant. Similarly, there exists a non-closed set G ⊆ ℝ such that every weak contraction...
Metrics in the set of partial isometries with finite rank
Let be the set of partial isometries with finite rank of an infinite dimensional Hilbert space . We show that is a smooth submanifold of the Hilbert space of Hilbert-Schmidt operators of and that each connected component is the set , which consists of all partial isometries of rank . Furthermore, is a homogeneous space of , where is the classical Banach-Lie group of unitary operators of , which are Hilbert-Schmidt perturbations of the identity. We introduce two Riemannian metrics...
M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn.
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity.
M-Ideals In Banach Spaces.
M-Ideals of Compact Operators.
M-ideals of compact operators in classical Banach spaces.
M-ideals of homogeneous polynomials
We study the problem of whether , the space of n-homogeneous polynomials which are weakly continuous on bounded sets, is an M-ideal in the space (ⁿE) of continuous n-homogeneous polynomials. We obtain conditions that ensure this fact and present some examples. We prove that if is an M-ideal in (ⁿE), then coincides with (n-homogeneous polynomials that are weakly continuous on bounded sets at 0). We introduce a polynomial version of property (M) and derive that if and (E) is an M-ideal in...
Mikhlin's problem on Carnot groups.