Applications of the Dirac sequences in mechanics.
Applications of the Fréchet subdifferential
2000 Mathematics Subject Classification: 46A30, 54C60, 90C26.In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Applications of the -adic Nevanlinna theory to functional equations
Let be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We apply the -adic Nevanlinna theory to functional equations of the form , where , are meromorphic functions in , or in an “open disk”, satisfying conditions on the order of its zeros and poles. In various cases we show that and must be constant when they are meromorphic in all , or they must be quotients of bounded functions when they are meromorphic in an “open disk”. In particular,...
Applications of the scarcity theorem in ordered Banach algebras
We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.
Applications of the smooth integral in the theory of weak solutions of ordinary differential equations
Applications of ultrapowers and Lipschitz classification of Banach spaces
Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
Applications of Ultraproducts to Infinite Dimensional Holomorphy.
Applications polynomiales et applications entières dans les espaces vectoriels topologiques
Applications p-radonifiantes et théorème de dualité
Applications radonifiantes dans l'espace des séries convergentes. II. Les résultats
Applications radonifiantes dans l'espace des séries convergentes. I. Le théorème de Menchov
Applications sommantes et radonifiantes
Soient , des espaces de Banach , des espaces d’Orlicz, on définit les applications sommantes de dans . On montre que de telles applications sont radonifiantes de dans .On donne une factorisation caractéristique des applications sommantes.
Applications -sommantes
Applying the density theorem for derivations to range inclusion problems
The problem of when derivations (and their powers) have the range in the Jacobson radical is considered. The proofs are based on the density theorem for derivations.
Approach regions for the square root of the Poisson kernel and boundary functions in certain Orlicz spaces
If the Poisson integral of the unit disc is replaced by its square root, it is known that normalized Poisson integrals of and weak boundary functions converge along approach regions wider than the ordinary nontangential cones, as proved by Rönning and the author, respectively. In this paper we characterize the approach regions for boundary functions in two general classes of Orlicz spaces. The first of these classes contains spaces having the property , . The second contains spaces that...
Approche de la conjecture de Novikov par la cohomologie cyclique
Approximate amenability for Banach sequence algebras
We consider when certain Banach sequence algebras A on the set ℕ are approximately amenable. Some general results are obtained, and we resolve the special cases where for 1 ≤ p < ∞, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras .