Suppose A is a o-algebra on R and f: R-00, +00] such that f¹(E) E A, prove that(-0, +oo]. If is the collection of all ECis a σ-algebra on [-00, +00].

Answered: Suppose A is a o-algebra on R and f: 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 A is a o-algebra on R and f: R -00, +00] such that f¹(E) E A, prove that (-0, +oo]. If is the collection of all EC is a σ-algebra on [-00, +00].