Matrix Method Approach to Cafiero Theorem
نویسندگان
چکیده
We give a simple proof of the Cafiero theorem based on a matrix method approach in the form of Lemma 2.4 in the σ-additive context. Based on a version of Drewnowski lemma for an SCP-ring we obtain an extension of Cafiero theorem for exhaustive finitely additive set functions defined on an SCP-ring. As consequences, the well-known Nikodým and Brooks-Jewett convergence theorems are obtained. AMS Mathematics Subject Classification (2000): 28A33
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