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Certain properties of measures on a normed space possessing the property RN

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Abstract

In the paper we investigate nonnegative measures on the spaces indicated. We ascertain that the behavior of measures (in particular, the universal measurability of certain mappings and the possibility of an extension to a wider a algebra) in its own turn characterizes Banach spaces possessing the property RN.

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Authors and Affiliations

  1. Tula State Pedagogical Institute, USSR

    V. I. Rybakov

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  1. V. I. Rybakov
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Translated from Matematicheskie Zametki, Vol. 21, No. 1, pp. 81–92, January, 1977.

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Rybakov, V.I. Certain properties of measures on a normed space possessing the property RN. Mathematical Notes of the Academy of Sciences of the USSR 21, 45–50 (1977). https://doi.org/10.1007/BF02317035

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  • DOI: https://doi.org/10.1007/BF02317035

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