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User:Boris Tsirelson/sandbox2

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Relations to Lebesgue integral

It is possible to treat absolutely convergent series as a special case of Lebesgue integrals. To this end, the countable set $\{0,1,2,\dots\}$ is treated as a measure space; its σ-algebra consists of all subsets, and its measure is the counting measure $\mu$: $\mu(A)$ is the number of points in $A$ ($\infty$ if $A$ is infinite).

How to Cite This Entry:
Boris Tsirelson/sandbox2. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox2&oldid=27154