Unconditional convergence and the Vitali-Hahn-Saks theorem
Unconditionally convergent operators on
Unconditionally covering and Dunford-Pettis operators on
Une remarque sur les espaces de Banach mesure-compacts
Uniform semiamarts
Uniqueness of measure extensions in Banach spaces
Let X be a Banach space, a norming set and (X,B) the topology on X of pointwise convergence on B. We study the following question: given two (non-negative, countably additive and finite) measures μ₁ and μ₂ on Baire(X,w) which coincide on Baire(X,(X,B)), does it follow that μ₁ = μ₂? It turns out that this is not true in general, although the answer is affirmative provided that both μ₁ and μ₂ are convexly τ-additive (e.g. when X has the Pettis Integral Property). For a Banach space Y not containing...