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Theorem Let A a a- algebra. Let P:A(0, 1] so that P(1) = 1 and it is additive. Then it is equivalent to say: iv) If (A)n21 CA and A, 1 2 so P(A,) t1 v) If A, t A so P(A) 1 P(A)

Theorem Let A a a- algebra. Let P:A(0, 1] so that P(1) = 1 and it is additive. Then it is equivalent to say: iv) If (A)n21 CA and A, 1 2 so P(A,) t1 v) If A, t A so P(A) 1 P(A)

Advanced Engineering Mathematics
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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Theorem Let A a o - algebra. Let P: A+ (0, 1] so that P(N) = 1 and it is additive. Then it is equivalent to say: iv) If (A)n21 C A and A, 1 2 so P(A,) ↑1 v) If A, t A so P(A,) ↑ IP(A)
Transcribed Image Text:Theorem Let A a o - algebra. Let P: A+ (0, 1] so that P(N) = 1 and it is additive. Then it is equivalent to say: iv) If (A)n21 C A and A, 1 2 so P(A,) ↑1 v) If A, t A so P(A,) ↑ IP(A)
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