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Note on the Regularity of Nonadditive Measures

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  • Toshikazu Watanabe
  • Syuji Yamada
  • Tamaki Tanaka

Abstract

We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff's theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact, separable metric space.

Suggested Citation

  • Toshikazu Watanabe & Syuji Yamada & Tamaki Tanaka, 2013. "Note on the Regularity of Nonadditive Measures," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-4, August.
    • Handle: RePEc:hin:jnljam:234681
    DOI: 10.1155/2013/234681
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