Factorisation des applications -sommantes
Factorisation des isomorphies d’ordre des espaces
Factorization of vector measures and their integration operators
Let X be a Banach space and ν a countably additive X-valued measure defined on a σ-algebra. We discuss some generation properties of the Banach space L¹(ν) and its connection with uniform Eberlein compacta. In this way, we provide a new proof that L¹(ν) is weakly compactly generated and embeds isomorphically into a Hilbert generated Banach space. The Davis-Figiel-Johnson-Pełczyński factorization of the integration operator is also analyzed. As a result, we prove that if is both completely continuous...
Factorization theorem for -summing operators
We study some classes of summing operators between spaces of integrable functions with respect to a vector measure in order to prove a factorization theorem for -summing operators between Banach spaces.
Fenchel-Orlicz spaces [Book]
Fine behavior of functions whose gradients are in an Orlicz space
For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
Finite dimensional subspaces of
Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces.
Fixed point theorems for nonexpansive mappings in modular spaces
In this paper, we extend several concepts from geometry of Banach spaces to modular spaces. With a careful generalization, we can cover all corresponding results in the former setting. Main result we prove says that if is a convex, -complete modular space satisfying the Fatou property and -uniformly convex for all , C a convex, -closed, -bounded subset of , a -nonexpansive mapping, then has a fixed point.
Fixed points of asymptotically regular mappings
Fixpunktsätze für limeskompakte mengenwertige Abbildungen in nicht notwendig lokalkonvexen topologischen Vektorräumen
Flache Konvexität von Orliczräumen
Fonctions aléatoires linéaires. Théorème de dualité
Fonctions continues et séparément additives
Fonctions mesurables et *-scalairement mesurables, mesures banachiques majorées, martingales banachiques, et propriété de Radon-Nikodym
Fourier Inequalities and Moment Subspaces in Weightes Lebesgue Spaces.
Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces.
Fractal functions and Schauder bases
Fractional integral operators on with Morrey-Campanato norms
We introduce function spaces with Morrey-Campanato norms, which unify , and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator on these spaces.
Fractional powers of operators and Bessel potentials on Hilbert space