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Unformatted text preview: Modern Analysis 2
Homework 06
µ 1. Declare that fn → f (and say ‘fn converges to f in measure’) iﬀ
(∀ε > 0) µ{f − fn  ε} → 0. When µ(X ) < ∞ deﬁne
d(f, g ) =
Show that f − g 
dµ.
1 + f − g  µ fn → f ⇔ d(f, fn ) → 0. 1 ...
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This note was uploaded on 07/08/2011 for the course MAA 5229 taught by Professor Robinson during the Spring '11 term at University of Florida.
 Spring '11
 Robinson

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