The weak Radon-Nikodym property in Banach spaces
Kazimierz Musiał (1979)
Studia Mathematica
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Kazimierz Musiał (1979)
Studia Mathematica
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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.
Diomedes Bárcenas (2001)
Czechoslovak Mathematical Journal
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Some criteria for weak compactness of set valued integrals are given. Also we show some applications to the study of multimeasures on Banach spaces with the Radon-Nikodym property.
Winkler, Gerhard
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