Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral

Abstract

An integral for a scalar function with respect to a multimeasure NN taking its values in a locally convex space is introduced. The definition is independent of the selections of NN and is related to a functional version of the Bartle-Dunford-Schwartz integral with respect to a vector measure presented by Lewis. Its properties are studied together with its application to Radon-Nikodym theorems in order to represent as an integrable derivative the ratio of two general multimeasures or two dHd_H-multimeasures; equivalent conditions are provided in both cases.Comment: we have changed the title of the articl

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