Definition:Diffuse Measure
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Definition
Let $\struct {X, \Sigma, \mu}$ be a measure space.
The measure $\mu$ is said to be diffuse, non-atomic or continuous if and only if there are no $\mu$-atoms.
Also see
- Results about diffuse measures can be found here.
Sources
- 2005: René L. Schilling: Measures, Integrals and Martingales ... (previous) ... (next): $\S 6$: Problem $5$