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References to '$\sigma$-finite'
1. $\mathbb{L}^p$ vs $\mathbb{L}^q$ by yark
2. any $\sigma$-finite measure is equivalent to a probability measure by gel
3. Banach space by bbukh
4. bounded linear functionals on $L^\infty(\mu)$ by gel
5. capacity generated by a measure by gel
6. existence of the essential supremum by gel
7. Fubini's theorem for the Lebesgue integral by jirka
8. functional monotone class theorem by gel
9. Hahn-Kolmogorov theorem by Koro
10. Lebesgue decomposition theorem by Koro
11. measurability of analytic sets by gel
12. measurable projection theorem by gel
13. proof of capacity generated by a measure by gel
14. support of integrable function is $\sigma$-finite by asteroid
15. Tonelli's theorem by jirka
16. uniformly distributed by bbukh
17. Vitali convergence theorem by stevecheng