Open AccessNote on the Regularity of Nonadditive Measures
Author(s) -
Toshikazu Watanabe,
Syuji Yamada,
Tamaki Tanaka
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/234681
Subject(s) - separable space , mathematics , property (philosophy) , metric (unit) , space (punctuation) , pure mathematics , metric space , mathematical analysis , computer science , economics , epistemology , philosophy , operations management , operating system
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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