Unconditional decompositions and local unconditional structures in some subspaces of , 1≤p<2
Unconditionality of general Franklin systems in , 1 < p < ∞
By a general Franklin system corresponding to a dense sequence = (tₙ, n ≥ 0) of points in [0,1] we mean a sequence of orthonormal piecewise linear functions with knots , that is, the nth function of the system has knots t₀, ..., tₙ. The main result of this paper is that each general Franklin system is an unconditional basis in , 1 < p < ∞.
Unconditionality of orthogonal spline systems in H¹
We give a simple geometric characterization of knot sequences for which the corresponding orthonormal spline system of arbitrary order k is an unconditional basis in the atomic Hardy space H¹[0,1].
Unconditionality of orthogonal spline systems in
We prove that given any natural number k and any dense point sequence (tₙ), the corresponding orthonormal spline system is an unconditional basis in reflexive .
Une caractérisation des sous espaces de et ses applications
Une nouvelle classe d'espaces de Banach vérifiant le théorème de Grothendieck
Soit un espace et soit un sous-espace réflexif de dimension infinie de . Nous montrons que le quotient vérifie le théorème de Grothendieck, c’est-à-dire que tout opérateur de dans un espace de Hilbert est 1-sommant; par ailleurs, n’est pas un espace . Cela permet de répondre négativement à une question de Lindenstrauss-Pełczyński ainsi qu’à une question similaire de Grothendieck.
Une nouvelle démonstration d'un théorème de Grothendieck
Une propriété du type -stable
Une topologie mixte sur l’espace
Uniform c-convexity of , .
Uniform convexity and associate spaces
We prove that the associate space of a generalized Orlicz space is given by the conjugate modular even without the assumption that simple functions belong to the space. Second, we show that every weakly doubling -function is equivalent to a doubling -function. As a consequence, we conclude that is uniformly convex if and are weakly doubling.
Uniform Gâteaux smoothness of higher order on separable Banach spaces.
The aim of this paper is to show, among other things, that, in separable Banach spaces, the presence of the smoothness with the highest derivative Lipschitzian implies the uniform Gâteaux smoothness of degree 1 up.
Uniform homeomorphisms between unit balls in L...-spaces.
Uniform modular integrability and convergence properties for a class of Urysohn integral operators in function spaces
Uniform non-squareness and property of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm
We characterize the uniform non-squareness and the property of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.
Uniformly accurate quantile bounds via the truncated moment generating function: the symmetric case.
Uniformly non- Orlicz spaces with Luxemburg norm
Uniformly non-ln(1) Musielak-Orlicz Spaces of Bochner Type.
Uniformly -continuous topologies on Köthe-Bochner spaces and Orlicz-Bochner spaces
Some class of locally solid topologies (called uniformly -continuous) on Köthe-Bochner spaces that are continuous with respect to some natural two-norm convergence are introduced and studied. A characterization of uniformly -continuous topologies in terms of some family of pseudonorms is given. The finest uniformly -continuous topology on the Orlicz-Bochner space is a generalized mixed topology in the sense of P. Turpin (see [11, Chapter I]).
Unions et intersections d’espaces invariantes par translation ou convolution
Étude des propriétés des unions et intersections d’espaces relatifs à un ensemble de mesures positives sur un groupe commutatif localement compact lorsque est invariant par translation ou stable par convolution.Dans des cas particuliers, on retrouve les propriétés d’espaces étudiés par A. Beurling et par B. Koremblium.On étudie aussi les espaces formés des fonctions appartenant localement à et qui ont un comportement à l’infini.