functions such that f→fa.e. on a measurable set E of finite measure, then given n> 0 there is a subset WCE with m(W) < n such that {f} wedd converges to funiformly on F

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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(D.F. Egorov). If {f} is a sequence of measurable
functions such that f→fa.e. on a measurable set E of finite measure, then
given n> 0 there is a subset W CE with m(W) < n such that {f}
converges to f uniformly on E~ W.
Transcribed Image Text:(D.F. Egorov). If {f} is a sequence of measurable functions such that f→fa.e. on a measurable set E of finite measure, then given n> 0 there is a subset W CE with m(W) < n such that {f} converges to f uniformly on E~ W.
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