Strong law of large numbers for optimal points.
Strong topologies on vector-valued function spaces
Let be a real Banach space and let be an ideal of over a -finite measure space . Let be the space of all strongly -measurable functions such that the scalar function , defined by for , belongs to . The paper deals with strong topologies on . In particular, the strong topology ( the order continuous dual of ) is examined. We generalize earlier results of [PC] and [FPS] concerning the strong topologies.
Structure of Cesàro function spaces: a survey
Geometric structure of Cesàro function spaces , where I = [0,1] and [0,∞), is investigated. Among other matters we present a description of their dual spaces, characterize the sets of all q ∈ [1,∞] such that contains isomorphic and complemented copies of -spaces, show that Cesàro function spaces fail the fixed point property, give a description of subspaces generated by Rademacher functions in spaces .
Structure of Rademacher subspaces in Cesàro type spaces
The structure of the closed linear span of the Rademacher functions in the Cesàro space is investigated. It is shown that every infinite-dimensional subspace of either is isomorphic to l₂ and uncomplemented in , or contains a subspace isomorphic to c₀ and complemented in . The situation is rather different in the p-convexification of if 1 < p < ∞.
Structure theory of function spaces
Submeasures and Locally Solid Topologies on Riesz Spaces.
Subspaces of for that are admissible as kernels.
Subspaces of , p > 2, determined by partitions and weights
Many of the known complemented subspaces of have realizations as sequence spaces. In this paper a systematic approach to defining these spaces which uses partitions and weights is introduced. This approach gives a unified description of many well known complemented subspaces of . It is proved that the class of spaces with such norms is stable under (p,2) sums. By introducing the notion of an envelope norm, we obtain a necessary condition for a Banach sequence space with norm given by partitions...
Subspaces of which do not contain -isomorphically
Subspaces of which embed into
Sufficient conditions for elliptic problem of optimal control in in Orlicz-Sobolev space.
Sur la convergence ponctuelle de , dans
Sur les espaces de Musielak-Orlicz non localement convexes intransitifs
Sur les espaces uniformément fermés de fonctions à variation bornée
Sur les inégalités GKS
Sur les injections entre espaces de Sobolev et espaces d'Orlicz et application au comportement a l'infini pour des équations des ondes semi-linéaires
Sur les opérateurs multiplicativement liés
Sur les sous-espaces de , d’après H. P. Rosenthal
Sur un théorème de Day, un théorème de Mazur-Orlicz et une généralisation de quelques théorèmes de Silverman
Symmetric Bessel multipliers
We study the -boundedness of linear and bilinear multipliers for the symmetric Bessel transform.