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On the extension of bimeasures

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Abstract

We prove a necessary and sufficient condition for the existence of an extension of a scalar bimeasure on abstract sets to a Σ-additive measure on the generated Σ-algebra. We also prove some extension theorems for vector bimeasures.

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Authors and Affiliations

  1. Department of Mathematics, Bar-Ilan University, 52900, Ramat Gan, Israel

    Shaul Karni & Ely Merzbach

Authors
  1. Shaul Karni
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  2. Ely Merzbach
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Additional information

This work is part of a Ph.D. research of the first author carried out at Bar-Ilan University under the supervision of the second author.

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Karni, S., Merzbach, E. On the extension of bimeasures. J. Anal. Math. 55, 1–16 (1990). https://doi.org/10.1007/BF02789194

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  • DOI: https://doi.org/10.1007/BF02789194

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