Spectrum and Envelope of Holomorphy for Infinite Dimensional Riemann Domains.
S-rationally convex domains and the approximation of Silva-holomorphic functions by S-rational functions
Stabile Maße auf Badrikianschen Räumen.
Stepanoff's theorem in separable Banach spaces
Stepanoff's theorem is extended to infinitely dimensional separable Banach spaces.
Stetigkeitsaussagen Für Eine Klasse Verallgemeinerter Konvexer Funktionen In Topologischen Linearen Räumen
Stochastic approximation properties in Banach spaces
We show that a Banach space X has the stochastic approximation property iff it has the stochasic basis property, and these properties are equivalent to the approximation property if X has nontrivial type. If for every Radon probability on X, there is an operator from an space into X whose range has probability one, then X is a quotient of an space. This extends a theorem of Sato’s which dealt with the case p = 2. In any infinite-dimensional Banach space X there is a compact set K so that for...
Stochastic Basis in Fréchet Space.
Strict differentiability via differentiability
Strict topologies as topological algebras
Let be a completely regular Hausdorff space, the space of all scalar-valued bounded continuous functions on with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally -convex.
Stronger estimates of smallness of sets of Frechet nondifferentiability of convex functions
Structural properties of Banach and Fréchet spaces determined by the range of vector measures.
Structure of measures on topological spaces.
The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis, and...
Structure of spaces of holomorphic functions on infinite dimensional polydiscs
Sub differentiability and trustworthiness in the light of a new variational principle of Borwein and Preiss
Substable and pseudo-isotropic processes. Connections with the geometry of subspaces of [Book]
Substitution formulas for the Kurzweil and Henstock vector integrals
Results on integration by parts and integration by substitution for the variational integral of Henstock are well-known. When real-valued functions are considered, such results also hold for the Generalized Riemann Integral defined by Kurzweil since, in this case, the integrals of Kurzweil and Henstock coincide. However, in a Banach-space valued context, the Kurzweil integral properly contains that of Henstock. In the present paper, we consider abstract vector integrals of Kurzweil and prove Substitution...
Supergeneric results and Gateâux differentiability of convex and Lipschitz functions on small sets
Supersymmetric measures and maximum principles in the complex domain. Exponential decay of Green's functions
Support results via exceptional sets in Banach spaces
Sur certains espaces de formes linéaires liés aux mesures vectorielles
En liaison avec le théorème d’Orlicz-Pettis, on étudie la plus fine topologie localement convexe sur un elc pour laquelle toute mesure définie sur une tribu et à valeurs dans est -bornée. Pour cela, on considère l’espace des formes linéaires sur telles que, pour toute suite sous-série convergente de , on ait . La topologie coïncide avec la topologie de Mackey ; elle est bornologique et tonnelée, mais ce n’est pas la topologie bornologique et tonnelée associée à . Ce point est...