Note on the Regularity of Nonadditive Measures
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/234681 |
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doaj-8beb12022c114ff0bb6cb37d76a653c42020-11-24T22:16:16ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/234681234681Note on the Regularity of Nonadditive MeasuresToshikazu Watanabe0Syuji Yamada1Tamaki Tanaka2Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata 950-2181, JapanGraduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata 950-2181, JapanGraduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-cho, Nishi-ku, Niigata 950-2181, JapanWe 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.http://dx.doi.org/10.1155/2013/234681 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Toshikazu Watanabe Syuji Yamada Tamaki Tanaka |
| spellingShingle |
Toshikazu Watanabe Syuji Yamada Tamaki Tanaka Note on the Regularity of Nonadditive Measures Journal of Applied Mathematics |
| author_facet |
Toshikazu Watanabe Syuji Yamada Tamaki Tanaka |
| author_sort |
Toshikazu Watanabe |
| title |
Note on the Regularity of Nonadditive Measures |
| title_short |
Note on the Regularity of Nonadditive Measures |
| title_full |
Note on the Regularity of Nonadditive Measures |
| title_fullStr |
Note on the Regularity of Nonadditive Measures |
| title_full_unstemmed |
Note on the Regularity of Nonadditive Measures |
| title_sort |
note on the regularity of nonadditive measures |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2013-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2013/234681 |
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AT toshikazuwatanabe noteontheregularityofnonadditivemeasures AT syujiyamada noteontheregularityofnonadditivemeasures AT tamakitanaka noteontheregularityofnonadditivemeasures |
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