Stabilité des -algèbres de feuilletages
Soit la -algèbre, ou bien réduite ou bien maximale, associée à la variété feuilletée , et la -algèbre élémentaire des opérateurs compacts. Alors, si dim, on montre que est isomorphe à .
Stabilité du comportement des marches aléatoires sur un groupe localement compact
Dans cet article nous démontrons un théorème de stabilité des probabilités de retour sur un groupe localement compact unimodulaire, séparable et compactement engendré. Nous démontrons que le comportement asymptotique de F*(2n)(e) ne dépend pas de la densité F sous des hypothèses naturelles. A titre d’exemple nous établissons que la probabilité de retour sur une large classe de groupes résolubles se comporte comme exp(−n1/3).
Stabilité et convergence dans les problèmes de perturbation singulière
Stability and ergodicity of dominated semigroups I. The uniform case.
Stability and ergodicity of dominated semigroups. II. The strong case.
Stability and superstability of ring homomorphisms on non-archimedean Banach algebras.
Stability in Banach spaces.
Stability in the -norm and -norm of classes of Lipschitz functions of one variable.
Stability in vector valued -spaces
Stability of a 2-dimensional functional equation in a class of vector variable functions.
Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in -algebras.
Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in -algebras.
Stability of a quadratic functional equation in the spaces of generalized functions.
Stability of a solution to an integral geometry problem in Sobolev norms.
Stability of -algebras is not a stable property.
Stability of commuting maps and Lie maps
Let A be an ultraprime Banach algebra. We prove that each approximately commuting continuous linear (or quadratic) map on A is near an actual commuting continuous linear (resp. quadratic) map on A. Furthermore, we use this analysis to study how close are approximate Lie isomorphisms and approximate Lie derivations to actual Lie isomorphisms and Lie derivations, respectively.
Stability of cubic functional equation in the spaces of generalized functions.
Stability of mixed type cubic and quartic functional equations in random normed spaces.
Stability of multipliers on Banach algebras.
Stability of positive part of unit ball in Orlicz spaces
The aim of this paper is to investigate the stability of the positive part of the unit ball in Orlicz spaces, endowed with the Luxemburg norm. The convex set in a topological vector space is stable if the midpoint map , is open with respect to the inherited topology in . The main theorem is established: In the Orlicz space the stability of the positive part of the unit ball is equivalent to the stability of the unit ball.