Strictly extreme and strictly exposed points.
Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces
If G is the closure of in exp L₂, it is proved that the inclusion between rearrangement invariant spaces E ⊂ F is strictly singular if and only if it is disjointly strictly singular and E ⊊ G. For any Marcinkiewicz space M(φ) ⊂ G such that M(φ) is not an interpolation space between and G it is proved that there exists another Marcinkiewicz space M(ψ) ⊊ M(φ) with the property that the M(ψ) and M(φ) norms are equivalent on the Rademacher subspace. Applications are given and a question of Milman...
Strictly webbed spaces and regularity properties of inductive limits.
Strong -weights and scaling invariant Besov capacities.
Strong barrelledness properties in l ... 0 (X, A) and bounded finite additive measures.
Strong barrelledness properties in L...(..., X).
Strong barrelledness properties in Lebesgue-Bochner spaces.
Strong boundary values : independence of the defining function and spaces of test functions
The notion of “strong boundary values” was introduced by the authors in the local theory of hyperfunction boundary values (boundary values of functions with unrestricted growth, not necessarily solutions of a PDE). In this paper two points are clarified, at least in the global setting (compact boundaries): independence with respect to the defining function that defines the boundary, and the spaces of test functions to be used. The proofs rely crucially on simple results in spectral asymptotics.
Strong Clustering in Type III Entropic K-Systems.
Strong density for higher order Sobolev spaces into compact manifolds
Given a compact manifold , an integer and an exponent , we prove that the class of smooth maps on the cube with values into is dense with respect to the strong topology in the Sobolev space when the homotopy group of order is trivial. We also prove density of maps that are smooth except for a set of dimension , without any restriction on the homotopy group of .
Strong Ditkin algebras without bounded relative units.
Strong duals of projective limits of (LB)-spaces
We investigate the problem when the strong dual of a projective limit of (LB)-spaces coincides with the inductive limit of the strong duals. It is well-known that the answer is affirmative for spectra of Banach spaces if the projective limit is a quasinormable Fréchet space. In that case, the spectrum satisfies a certain condition which is called “strong P-type”. We provide an example which shows that strong P-type in general does not imply that the strong dual of the projective limit is the inductive...
Strong extrapolation spaces and interpolation.
Strong law of large numbers for optimal points.
Strong mixing Markov semigroups on C₁ are meager
We show that the set of those Markov semigroups on the Schatten class ₁ such that in the strong operator topology , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.
Strong monotonicity and Lipschitz-continuity of the duality mapping
Strong Morita Equivalence of Certain Transformation Group C*-Algebras.
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 reflexivity of Abelian groups
A reflexive topological group is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
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.