The Yang-Baxter and pentagon equation
The Young Measure Representation for Weak Cluster Points of Sequences in M-spaces of Measurable Functions
Let ⟨X,Y⟩ be a duality pair of M-spaces X,Y of measurable functions from Ω ⊂ ℝ ⁿ into . The paper deals with Y-weak cluster points ϕ̅ of the sequence in X, where is measurable for j ∈ ℕ and is a Carathéodory function. We obtain general sufficient conditions, under which, for some negligible set , the integral exists for and on , where is a measurable-dependent family of Radon probability measures on .
The -approximation property and the weak topology in tensor products of Banach spaces
The -function in the space .
The -function in -algebras.
The -transformation on McBride’s spaces of generalized functions
An integral transform denoted by that generalizes the well-known Laplace and Meijer transformations, is studied in this paper on certain spaces of generalized functions introduced by A.C. McBride by employing the adjoint method.
The -property in
The -property of a Riesz space (real vector lattice) is: For each sequence of positive elements of , there is a sequence of positive reals, and , with for each . This condition is involved in studies in Riesz spaces of abstract Egoroff-type theorems, and of the countable lifting property. Here, we examine when “” obtains for a Riesz space of continuous real-valued functions . A basic result is: For discrete , has iff the cardinal , Rothberger’s bounding number. Consequences and...
The fuzzy numbers defined by a modulus
The sequence spaces defined by a modulus
Théorème d'approximation et espaces de Hopf.
Théorème de Cohen-Hewitt dans une algèbre de Jordan-Fréchet.
Théorème de Gelfand-Mazur dans les algèbres p-normées non-associatives.
Théorème de préparation différentiable ultramétrique, II
Théorème de relèvement et mesures bivalentes
Théorème de relèvement et mesures bivalentes
Théorème de traces pour une classe d'espaces de Sobolev singuliers
Théorème du graphe fermé dans les G-espaces topologiques.
In this paper we introduce the notion of topological G-spaces. This is an intermediate class between G-sets and A-modules. After giving suitable definitions and illustrating examples, we prove a theorem of closed graph theorem type.
Théorème limite central dans les espaces
Théorèmes de densité pour les formes d'appui d'un convexe fermé
Théorèmes de factorisation dans les algèbres completes de Jordan.
A generalization of a result of Cohen-Hewitt is given in the case of Jordan-Banach algebras. Some precisions of factorization are obtained.