Integrals with Respect to Counting Measures

Rinaldo B. Schinazi
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Rinaldo B. Schinazi: University of Colorado, Department of Mathematics

Chapter Chapter 13 in From Classical to Modern Analysis, 2018, pp 229-234 from Springer

Abstract: Abstract Consider the set of natural numbers ℕ $$\mathbb {N}$$ equipped with the σ −algebra P ( ℕ ) $$\mathcal {P}(\mathbb {N})$$ (i.e., all the subsets of ℕ $$\mathbb {N}$$ ). With this σ −algebra every subset of ℕ $$\mathbb {N}$$ is measurable and every function a : ℕ → ℝ $$a:\mathbb {N}\longrightarrow \mathbb {R}$$ is measurable as well.

Date: 2018
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DOI: 10.1007/978-3-319-94583-5_13

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