TOPICS
Search

Mutually Singular


Let M be a sigma-algebra M, and let lambda_1 and lambda_2 be measures on M. If there exists a pair of disjoint sets A and B such that lambda_1 is concentrated on A and lambda_2 is concentrated on B, then lambda_1 and lambda_2 are said to be mutually singular, written lambda_1_|_lambda_2.


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

Subject classifications