Difference between revisions of "Trace sigma-algebra"
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==Definition== | ==Definition== | ||
Revision as of 21:30, 19 April 2016
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"Trace", but it's a subspace concept! Find more references
Definition
Let (X,A) be a σ-algebra and let Y⊆X be any subset of X, then we may construct a σ-algebra on Y called the trace σ-algebra, AY given by[1]:
- AY:={Y∩A |A∈A}
Claim: (Y,AY) is a σ-algebra
Proof of claims
References
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