Definition:Sigma-Finite Measure Space
Jump to navigation
Jump to search
Definition
A measure space $\struct {X, \Sigma, \mu}$ is said to be $\sigma$-finite (or sigma-finite) if and only if $\mu$ is a $\sigma$-finite measure.
Sources
- 2005: René L. Schilling: Measures, Integrals and Martingales ... (previous) ... (next): $4.2$
- 2013: Donald L. Cohn: Measure Theory (2nd ed.) ... (previous) ... (next): $1.2$: Measures