Definition 26.2.1.label Let $(X, \cm)$ be a measure space, then
\[\mathcal{L}^{+}(X, \cm) = \bracs{f: X \to [0, \infty]| f \ge 0, f \text{ is } (\cm, \cb_\real) \text{-measurable}}\]
is the space of non-negative $\ol \real$-valued measurable functions on $(X, \cm)$.
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