8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E₁) ≤ lim inf μ(E). Also, μ(lim sup E₁) ≥ lim sup μ(E;) provided that µ(UE;) < ∞.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E;) <
lim inf μ(E). Also, μ(lim sup E;) ≥ lim sup μ(E;) provided that μ(UE;) <
∞.
Transcribed Image Text:8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E;) < lim inf μ(E). Also, μ(lim sup E;) ≥ lim sup μ(E;) provided that μ(UE;) < ∞.
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