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Uniform boundedness of a family of nonadditive set functions. (Russian) Zbl 0682.28001

Let \(\Phi =\{\phi \}\) be a family of set functions defined on a set class \(\Sigma\) which is not structured as ring. No suppositions regarding the continuity and semi-additivity are made.
The author proves the necessary and sufficient conditions in order to assure the uniform boundedness on \(\Sigma\) of the considered family of set functions.
Reviewer: O.Lipovan

MSC:

28A10 Real- or complex-valued set functions
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