A measure space \((X, \mcm, \mu)\) is \(\sigma\)-finite if there exist sets \(E_1,E_2,\ldots\in\mcm\) with \(X=\bigcup_{k=1}^\infty E_k\) and \(\mu(E_k)<\infty\) for every \(k\).
$\sigma$-finite measure spaces
D-BXAUS
D-BXAUS
A measure space \((X, \mcm, \mu)\) is \(\sigma\)-finite if there exist sets \(E_1,E_2,\ldots\in\mcm\) with \(X=\bigcup_{k=1}^\infty E_k\) and \(\mu(E_k)<\infty\) for every \(k\).