9. Suppose that {Bn, n ≥ 1} is a countable partition of 22 and define B = o (Bn, n ≥ 1). Show a function X: (-∞0, ∞] is B-measurable iff X is of the form 8 X = [Ci 1B₁, i=1 for constants (c;}. (What is B?)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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9. Suppose that {Bn, n ≥ 1) is a countable partition of 22 and define B =
o (Bn, n ≥ 1). Show a function X: + (-∞0, ∞] is B-measurable iff X
is of the form
8
X = [Ci 1B₁,
i=1
for constants (c;}. (What is B?)
Transcribed Image Text:9. Suppose that {Bn, n ≥ 1) is a countable partition of 22 and define B = o (Bn, n ≥ 1). Show a function X: + (-∞0, ∞] is B-measurable iff X is of the form 8 X = [Ci 1B₁, i=1 for constants (c;}. (What is B?)
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