Suppose that f is a continuous additive function on R. If c := f(1), show that we

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Suppose that f is a continuous additive function on R. If c := f(1), show that we have f(x) = cx for all x ∈ R. [First show that if r is a rational number, then f(r) = cr.]

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:59 AM

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Suppose that f is a continuous additive function on R. If c := f(1), show that we

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First show that f0 0 and by Induc...View the full answer

Introduction to Real Analysis

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