Generalizing normality for operators on Banach spaces: Hyponormality. I.
Générateur des semi-groupes non linéaires et la formule de Lie-Trotter
Generating real maps on a biordered set.
Generating real maps on a biordered set
Several authors have defined operational quantities derived from the norm of an operator between Banach spaces. This situation is generalized in this paper and we present a general framework in which we derivate several maps from an initial one , where is a set endowed with two orders, and , related by certain conditions. We obtain only three different derivated maps, if the initial map is bounded and monotone.
Generation of analytic semigroups by elliptic operators of second order in Hölder spaces
Generation of analytic semi-groups in L2 for a class of second order degenerate elliptic operators
Generation of B(X) two commutative subalgebras - results and open problems
Generation of nonlinear semigroups by a partial differential equation.
Generation theory for semigroups of holomorphic mappings in Banach spaces.
Generators for algebras dense in -spaces
For various -spaces (1 ≤ p < ∞) we investigate the minimum number of complex-valued functions needed to generate an algebra dense in the space. The results depend crucially on the regularity imposed on the generators. For μ a positive regular Borel measure on a compact metric space there always exists a single bounded measurable function that generates an algebra dense in . For M a Riemannian manifold-with-boundary of finite volume there always exists a single continuous function that generates...
Generators for quasi-free completely positive semi-groups
Generators of Brownian motions on abstract Wiener spaces
We prove that Brownian motion on an abstract Wiener space B generates a locally equicontinuous semigroup on equipped with the -topology introduced by L. Le Cam. Hence we obtain a “Laplace operator” as its infinitesimal generator. Using this Laplacian, we discuss Poisson’s equation and heat equation, and study its properties, especially the difference from the Gross Laplacian.
Generic convergence of iterates for a class of nonlinear mappings.
Generic differentiability of mappings and convex functions in Banach and locally convex spaces
Generic existence result for an eigenvalue problem with rapidly growing principal operator
We consider the eigenvalue problemin the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all are eigenvalues.
Generic existence result for an eigenvalue problem with rapidly growing principal operator
We consider the eigenvalue problem in the case where the principal operator has rapid growth. By using a variational approach, we show that under certain conditions, almost all λ > 0 are eigenvalues.
Generic properties of iterated function systems with place dependent probabilities.
Generic properties of learning systems
It is shown that the set of learning systems having a singular stationary distribution is generic in the family of all systems satisfying the average contractivity condition.
Generic properties of some boundary value problems for differential equations
Generic properties of von Kármán equations