Displaying similar documents to “Tightness, integral equicontinuity and compactness for evolution problems in Banach spaces”

From weak to strong types of L E 1 -convergence by the Bocce criterion

Erik Balder, Maria Girardi, Vincent Jalby (1994)

Studia Mathematica

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Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space ℒ E 1 to be norm convergent (resp. relatively norm compact), thus extending the known results for ℒ ℝ 1 . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in ℒ E 1 . It is shown that tightness is a necessary and sufficient condition to pass from limited to...

Pointwise compactness and continuity of the integral.

G. Vera (1996)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we bring together the different known ways of establishing the continuity of the integral over a uniformly integrable set of functions endowed with the topology of pointwise convergence. We use these techniques to study Pettis integrability, as well as compactness in C(K) spaces endowed with the topology of pointwise convergence on a dense subset D in K.

Radon Measures on Banach Spaces with their Weak Topologies

Jayne, J., Rogers, C. (1995)

Serdica Mathematical Journal

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The main concern of this paper is to present some improvements to results on the existence or non-existence of countably additive Borel measures that are not Radon measures on Banach spaces taken with their weak topologies, on the standard axioms (ZFC) of set-theory. However, to put the results in perspective we shall need to say something about consistency results concerning measurable cardinals.