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New Generalizations of the Scorza-Dragoni Theorem

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider Carathéodory functions f : T × X → Y, where T is a topological space with regular σ-finite measure, the spaces X and Y are metrizable and separable, and X is locally compact. We show that every function of this sort possesses the Scorza-Dragoni property. A similar result is also established in the case where the space T is locally compact and X = ℝ∞.

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Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    O. I. Gaidukevich & V. K. Maslyuchenko

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  1. O. I. Gaidukevich
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  2. V. K. Maslyuchenko
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Gaidukevich, O.I., Maslyuchenko, V.K. New Generalizations of the Scorza-Dragoni Theorem. Ukrainian Mathematical Journal 52, 1010–1017 (2000). https://doi.org/10.1023/A:1005217430845

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  • DOI: https://doi.org/10.1023/A:1005217430845

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