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ove Proposition 3.5 (ii). Let f be an extended real-valued function defined on a measurable set E. uppose D CE is measurable. Then f is measurable on E if and only if the restrictions f|p and fE\D e both measurable.

ove Proposition 3.5 (ii). Let f be an extended real-valued function defined on a measurable set E. uppose D CE is measurable. Then f is measurable on E if and only if the restrictions f|p and fE\D e both measurable.

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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Prove Proposition 3.5 (ii). Let f be an extended real-valued function defined on a measurable set E. Suppose D CE is measurable. Then f is measurable on E if and only if the restrictions fp and fE\D are both measurable.
Transcribed Image Text:Prove Proposition 3.5 (ii). Let f be an extended real-valued function defined on a measurable set E. Suppose D CE is measurable. Then f is measurable on E if and only if the restrictions fp and fE\D are both measurable.
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