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.
Support results via exceptional sets in Banach spaces
Supremum norm differentiability.
Sur la convergence de polynômes
Sur la convergence forte des moyennes des opérateurs affines positifs
Sur la décomposition orthogonale du vecteur dans certains espaces de Banach
Sur la primarité des espaces C(α)
Sur la réflexivité des produits tensoriels et les sous-espaces des produits tensoriels projectifs.
Sur la reproductibilite des espaces l...