Subsystems of the Schauder system whose orthonormalizations are Schauder bases for
Sudakov-type minoration for log-concave vectors
We formulate and discuss a conjecture concerning lower bounds for norms of log-concave vectors, which generalizes the classical Sudakov minoration principle for Gaussian vectors. We show that the conjecture holds for some special classes of log-concave measures and some weaker forms of it are satisfied in the general case. We also present some applications based on chaining techniques.
Sue la g-orthogonalité dans des espaces normés
Sufficient condition for Pareto optimization in Banach spaces
Suitable norms for simultaneous approximation.
Suites concordantes d'espaces normés et leurs applications I
Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs
Suites écartables dans les espaces de Banach
Sulla interpolazione multilineare
Summable subsequences in convergence groups
Sums of independent Banach space valued random variables
Sums of SCD sets and their applications to SCD operators and narrow operators
We answer two open questions concerning the recently introduced notions of slicely countably determined (SCD) sets and SCD operators in Banach spaces. An application to narrow operators in spaces with the Daugavet property is given.
Superconvexity of the Spectral Radius, and Convexity of the Spectral Bound and the Type.
Supereflexive Banach spaces
Superposition operator on the space of sequences almost converging to zero
We study the superposition operator f on on the space ac 0 of sequences almost converging to zero. Conditions are derived for which f has a representation of the form f x = a+bx +g x, for all x ∈ ac 0 with a = f 0, b ∈ D(ac 0), g a superposition operator from ℓ∞ into I(ac 0), D(ac 0) = {z: zx ∈ ac 0 for all x ∈ ac 0}, and I(ac 0) the maximal ideal in ac 0. If f is generated by a function f of a real variable, then f is linear. We consider the conditions for which a bounded function f generates f...
Superreflexivity and -convexity of Banach spaces.
Supertauberian operators and perturbations.
Upper semi-Fredholm operators and tauberian operators in Banach spaces admit the following perturbative characterizations [6], [2]: An operator T: X --> Y is upper semi-Fredholm (tauberian) if and only if for every compact operator K: X --> Y the kernel N(T+K) is finite dimensional (reflexive). In [7] Tacon introduces an intermediate class between upper semi-Fredholm operators and tauberian operators, the supertauberian operators, and he studies this class using non-standard analysis....
Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm
Support functionals in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm are completely characterized. An explicit formula for regular support functionals is given. For obtaining a characterization of singular support functionals a generalized Banach limit is applied. Some necessary and sufficient conditions for smooothness of these spaces are given, too.
Support functionals and their relation to the Radon-Nikodym property.