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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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