Représentations d'opérateurs à valeurs dans L1 (X,..,..).
Representations of Riesz spaces as spaces of measures. I
Representations of Riesz spaces as spaces of measures. II
Sequential closedness of Boolean algebras of projections in Banach spaces
Complete and σ-complete Boolean algebras of projections acting in a Banach space were introduced by W. Bade in the 1950's. A basic fact is that every complete Boolean algebra of projections is necessarily a closed set for the strong operator topology. Here we address the analogous question for σ-complete Boolean algebras: are they always a sequentially closed set for the strong operator topology? For the atomic case the answer is shown to be affirmative. For the general case, we develop criteria...
Singular measures and -capacity on weighted Sobolev classes.
Smooth measures, the Malliavin calculus and approximations in infinitedimensional spaces
Strict dual of
Strict topology and perfect measures
Strong barrelledness properties in l ... 0 (X, A) and bounded finite additive measures.
Superpositions of states and a representation theorem
Sur les cônes inf-stables de fonctions continues sur un espace compact
The Dual of a Space of Vector Measures.
The dual of the space of measures with continuous translations.
The Finest Nachbin Topology is a Mixed Topology.
The problem of complementability for some spaces of vector measures of bounded variation with values in Banach spaces containing copies of
Let (S, ∑, m) be any atomless finite measure space, and X any Banach space containing a copy of . Then the Bochner space is uncomplemented in ccabv(∑,m;X), the Banach space of all m-continuous vector measures that are of bounded variation and have a relatively compact range; and ccabv(∑,m;X) is uncomplemented in cabv(∑,m;X). It is conjectured that this should generalize to all Banach spaces X without the Radon-Nikodym property.
The Radon measures as functionals on Lipschitz functions
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 .
Theorems on lower semicontinuity and relaxation for integrands with fast growth.
Topologies sur et