Pleas don't provide handwritten solution Let S be a measurable space, f,g: S→ K measurable and λ € K. Then:i)|ƒ|:: x → |f(x)| is measurable.ii) If K = R then sup(f, g) and inf(f, g) are measurable.

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Answered: Let S be a measurable space, f, g SK…

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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Let S be a measurable space, f, g SK measurable and AE K. Then: : i) |ƒ| : x → |ƒ(x)| is measurable. ii) If K = R then sup(f, g) and inf(f, g) are measurable.