Czechoslovak Mathematical Journal, Vol. 51, No. 3, pp. 493-504, 2001

Weak compactness criteria for set valued integrals and Radon Nikodym Theorem for vector valued multimeasures

Diomedes Barcenas

Universidad de los Andes, Departamento de Matematica, Merida 5101, Venezuela, e-mail: barcenas@ciens.ula.ve

Abstract: 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.

Keywords: weak compactness, measurable multifunctions, Radon-Nikodym property, multimeasures

Classification (MSC 2000): 28B05, 47D06

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