HW206 - Modern Analysis 2 Homework 06 µ 1. Declare that fn...

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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.

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