Please solve as soon as possible Suppose that M is a o-algebra over R, and µ : M → [0, 0] is a finitelyadditive function such that the following hold:If {A;} CM is an increasing nested sequence, then µ(U,A;)lim μ ( A ).n 00µ(Ø) = 0.Show that u is a measure.

Given M is a σ-algebra over ℝ and μ: M→0,∞ is a finitely additive function such that the following…

Answered: Suppose that M is a o-algebra over R,…

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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Suppose that M is a o-algebra over R, and µ : M → [0, ∞] is a finitely additive function such that the following hold: If {A;} C M is an increasing nested sequence, then µ(U,A;) = lim μ ( A ). µ(0) = 0. Show that u is a measure.