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Erschienen in:
2020 | OriginalPaper | Buchkapitel
4. Finitely Additive Measures
verfasst von : John Toland
Erschienen in: The Dual of L∞(X,L,λ), Finitely Additive Measures and Weak Convergence
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Abstract
This chapter introduces basic notation and definitions, for example, of partial ordering, lattice operations, absolute continuity and singularity, for finitely additive measures. The important notion of pure finite additivity of measures follows, and it is shown that every finitely additive measure is uniquely the sum of a countably additive and a purely finitely additive measure. This sets the scene for the material that follows.