be any nonempty set and let µ* be an outer measure on P(X) and let A, B e P(X). If at ne of A, B is measurable. Then prove that μ' (A) + μ' (Β) = μ (A B) + μ' (An Β.
be any nonempty set and let µ* be an outer measure on P(X) and let A, B e P(X). If at ne of A, B is measurable. Then prove that μ' (A) + μ' (Β) = μ (A B) + μ' (An Β.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let X be any nonempty set and let µ* be an outer measure on P(X) and let A, B e P(X). If at
least one of A, B is measurable. Then prove that
μ' (A) + μ (Β) = μ' (AU B) + μ' (A n Β).
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