How to extend Carath\'eodory's theorem to lattice-valued functionals
Substituting in the definition of outer measure the addition with the maximum (or the supremum, or the join) operation we obtain a new set function called retuo measure. It is proved that every retuo measure is an outer measure. We give necessary and sufficient conditions for a set function to be a...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2020-09-01
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| Series: | Results in Nonlinear Analysis |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/1187107 |