Abstract
Consider the set of natural numbers \(\mathbb {N}\) equipped with the σ −algebra \(\mathcal {P}(\mathbb {N})\) (i.e., all the subsets of \(\mathbb {N}\)). With this σ −algebra every subset of \(\mathbb {N}\) is measurable and every function \(a:\mathbb {N}\longrightarrow \mathbb {R}\) is measurable as well.
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Schinazi, R.B. (2018). Integrals with Respect to Counting Measures. In: From Classical to Modern Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94583-5_13
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DOI: https://doi.org/10.1007/978-3-319-94583-5_13
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-94582-8
Online ISBN: 978-3-319-94583-5
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