11. Let f be integrable over E where E = AUB is a disjoint union of measurable sets. Prove + √₂ ƒ = £ $ + £₁ $. A B that

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 17E: If e is the unity in an integral domain D, prove that (e)a=a for all aD. [Type here][Type here]
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11. Let f be integrable over E where E = AUB is a disjoint union of measurable sets. Prove
+ √₂ ƒ = £ $ + £₁ $.
A
B
that
Transcribed Image Text:11. Let f be integrable over E where E = AUB is a disjoint union of measurable sets. Prove + √₂ ƒ = £ $ + £₁ $. A B that
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