Let be a sigma-algebra , and let and be measures on . If there exists a pair of disjoint sets and such that is concentrated on and is concentrated on , then and are said to be mutually singular, written .

# Mutually Singular

## See also

Absolutely Continuous, Concentrated, Sigma-Algebra## Explore with Wolfram|Alpha

## References

Rudin, W.*Functional Analysis, 2nd ed.*New York: McGraw-Hill, p. 121, 1991.

## Referenced on Wolfram|Alpha

Mutually Singular## Cite this as:

Weisstein, Eric W. "Mutually Singular."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/MutuallySingular.html