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.
Strong subdifferentiability of norms and geometry of Banach spaces
The strong subdifferentiability of norms (i.eȯne-sided differentiability uniform in directions) is studied in connection with some structural properties of Banach spaces. It is shown that every separable Banach space with nonseparable dual admits a norm that is nowhere strongly subdifferentiable except at the origin. On the other hand, every Banach space with a strongly subdifferentiable norm is Asplund.
Stronger estimates of smallness of sets of Frechet nondifferentiability of convex functions
Strongly exposed points in Musielak-Orlicz sequence spaces endowed with Orlicz norm
A criterion for strongly exposed points of the unit ball in Musielak-Orlicz sequence spaces equipped with Orlicz norm is given.
Strongly Extreme Points in Banach Spaces.
Strongly nonnorming subspaces and prequojections
Strongly proximinal subspaces of finite codimension in C(K)
We characterize strongly proximinal subspaces of finite codimension in C(K) spaces. We give two applications of our results. First, we show that the metric projection on a strongly proximinal subspace of finite codimension in C(K) is Hausdorff metric continuous. Second, strong proximinality is a transitive relation for finite-codimensional subspaces of C(K).
Strongly summable sequences defined over real -normed spaces.
Structural properties of operator spaces