Construction of Dilations of Positive Lp-Contractions.
Construction of Sobolev spaces of fractional order with sub-riemannian vector fields
Given a smooth family of vector fields satisfying Chow-Hörmander’s condition of step 2 and a regularity assumption, we prove that the Sobolev spaces of fractional order constructed by the standard functional analysis can actually be “computed” with a simple formula involving the sub-riemannian distance.Our approach relies on a microlocal analysis of translation operators in an anisotropic context. It also involves classical estimates of the heat-kernel associated to the sub-elliptic Laplacian.
Construction of standard exact sequences of power series spaces
The following result is proved: Let denote a power series space of infinite or of finite type, and equip with its canonical fundamental system of norms, R ∈ 0,∞, 1 ≤ p < ∞. Then a tamely exact sequence (⁎) exists iff α is strongly stable, i.e. , and a linear-tamely exact sequence (*) exists iff α is uniformly stable, i.e. there is A such that for all K. This result extends a theorem of Vogt and Wagner which states that a topologically exact sequence (*) exists iff α is stable, i.e. .
Construction of vacuum for the positive-energy representation and its Bose counterpart.
Constructions des ensembles déterminants pour les fonctions analytiques
Constructions preserving -weak amenability of Banach algebras
A surjective bounded homomorphism fails to preserve -weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.
Containing l1 or c0 and best approximation.
The purpose of this paper is to obtain sufficient conditions, for a Banach space X to contain or exclude c0 or l1, in terms of the sets of best approximants in X for the elements in the bidual space.
Contents
Continous Norms on Locally Convex Strict Inductive Limit Spaces.
Continous trace groupoid C*-algebras.
Continuation of holomorphic solutions to convolution equations in complex domains
For an analytic functional on , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in . We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Continuidad De Polinomios En Espacios Vectoriales Topologicos.
Continuité automatique des dérivations et des epimorphismes II.
Continuité d'applications linéaires
Continuité des caractères des algèbres localement multiplicativement convexes
Continuité des homomorphismes d'une algèbre métrisable et complète sur certaines algèbres de Banach.
Continuité et différentiabilité des translations dans un espace Gaussien.
Continuité et uniforme continuité du spectre dans les algèbras de Banach
Continuité sur les espaces de Besov des opérateurs définis par des intégrales singulières
On donne un critère très simple de continuité des opérateurs définis par des intégrales singulières sur les espaces de Besov homogènes pour . Quelques exemples, utilisant notamment l’opérateur de paraproduit, illustrent ensuite l’emploi de ce critère.
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières