Abstract
In this concluding chapter I will deal with several matters that are of a rather abstract nature. The first of these is the famous theorem of Radon and Nikodym, which can be viewed as a generalization of the results in § 3.3. The second is the abstraction of Lebesgue’s integration theory that results from thinking about integrals as linear functions.
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© 2011 Springer Science+Business Media, LLC
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Stroock, D.W. (2011). The Radon–Nikodym Theorem, Daniell Integration, and Carathéodory’s Extension Theorem. In: Essentials of Integration Theory for Analysis. Graduate Texts in Mathematics, vol 262. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1135-2_8
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DOI: https://doi.org/10.1007/978-1-4614-1135-2_8
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