Stability and ergodicity of dominated semigroups. II. The strong case.
Stability in Banach spaces.
Stability in vector valued -spaces
Stability of mixed type cubic and quartic functional equations in random normed spaces.
Stability of Supporting and Exposing Elements of Convex Sets in Banach Spaces
* This work was supported by the CNR while the author was visiting the University of Milan.To a convex set in a Banach space we associate a convex function (the separating function), whose subdifferential provides useful information on the nature of the supporting and exposed points of the convex set. These points are shown to be also connected to the solutions of a minimization problem involving the separating function. We investigate some relevant properties of this function and of its conjugate...
Stable Banach spaces
Stable Convex Sets and Extremal Operators.
Stable points of unit ball in Orlicz spaces
The aim of this paper is to investigate stability of unit ball in Orlicz spaces, endowed with the Luxemburg norm, from the “local” point of view. Firstly, those points of the unit ball are characterized which are stable, i.e., at which the map is lower-semicontinuous. Then the main theorem is established: An Orlicz space has stable unit ball if and only if either is finite dimensional or it is isometric to or satisfies the condition or (appropriate to the measure and the function...
Stable probability measures on Banach spaces
Stable smooth and extreme points, and reflexivity
Starlike bodies and deleting diffeomorphisms in Banach spaces.
Starrheitssätze für Produkte normierter Vektorräume endlicher Dimension und für Produkte hyperbolischer komplexer Räume.
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...
Strict u-ideals in Banach spaces
We study strict u-ideals in Banach spaces. A Banach space X is a strict u-ideal in its bidual when the canonical decomposition is unconditional. We characterize Banach spaces which are strict u-ideals in their bidual and show that if X is a strict u-ideal in a Banach space Y then X contains c₀. We also show that is not a u-ideal.
Strictly and uniformly monotone sequential Musielak-Orlicz spaces.
Strictly contractive projections on classical sequence spaces
Strictly convex spheres in V-spaces
Strong extrapolation spaces and interpolation.
Strong monotonicity and Lipschitz-continuity of the duality mapping
Strong proximinality and polyhedral spaces.
In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.