Easure and Integration in the Alternative set Theory
Eberlein-compacts et espaces de Radon
Egoroff, σ, and convergence properties in some archimedean vector lattices
An archimedean vector lattice A might have the following properties: (1) the sigma property (σ): For each there are and a ∈ A with λₙaₙ ≤ a for each n; (2) order convergence and relative uniform convergence are equivalent, denoted (OC ⇒ RUC): if aₙ ↓ 0 then aₙ → 0 r.u. The conjunction of these two is called strongly Egoroff. We consider vector lattices of the form D(X) (all extended real continuous functions on the compact space X) showing that (σ) and (OC ⇒ RUC) are equivalent, and equivalent...
Eigenvalue estimates for a class of operators related to self-similar measures
Ein Approximationssatz für konvexe Körper.
Ein massentheoretisches Marginalproblem.
Ein Problem aus der Theorie der Gleichverteilung. I. Teil.
El espacio de la convergencia en medida y su dual.
El teorema de convergencia de Vitali sobre integración término a término.
El teorema de Radon-Nikodym en espacios bornológicos.
Elliott-Morse measures and Kakutani's dichotomy theorem.
Embedding in
If is a measurable space and a Banach space, we provide sufficient conditions on and in order to guarantee that , the Banach space of all -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of if and only if does.
Embedding inverse limits interval maps as attractors
Embedding of semilattices into distributive lattices
Energy of measures on compact Riemannian manifolds
We investigate the energy of measures (both positive and signed) on compact Riemannian manifolds. A formula is given relating the energy integral of a positive measure with the projections of the measure onto the eigenspaces of the Laplacian. This formula is analogous to the classical formula comparing the energy of a measure in Euclidean space with a weighted L² norm of its Fourier transform. We show that the boundedness of a modified energy integral for signed measures gives bounds on the Hausdorff...
Ensembles à coupes dénombrables et capacités dominées par une mesure
Ensembles analytiques, théorèmes de séparation et applications
Ensembles minces associés à une capacité
Ensembles quasi-minimaux avec contrainte de volume et rectifiabilité uniforme
Ensembles quasiminimaux pour le périmètre avec contrainte de volume et rectificabilité uniforme