Let [a, b] be an inter a space. Let ƒ:[a,b] → X

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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(b) Let [a, b] be an interval of R and X be a
Banach space. Let f:[a,b] →X be a function such
that fis the limit of a uniformly convergent sequence
of step-functions, then prove that fis regulated.
Transcribed Image Text:(b) Let [a, b] be an interval of R and X be a Banach space. Let f:[a,b] →X be a function such that fis the limit of a uniformly convergent sequence of step-functions, then prove that fis regulated.
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