2. Let X be a normed space and let 0x0 € X. Show that there is f = X* such thatf(x) = 1 and ƒ || = 1/||xo||.

Given, a normed space and .It is required to show that, there exists (the dual space of ) such…

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Let X be a normed space and let 0x0 EX. Show that there is f = X* such that f(x) = 1 and ||f|| = 1/||xo||·

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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2. Let X be a normed space and let 0x0 € X. Show that there is f = X* such that
f(x) = 1 and ƒ || = 1/||xo||.

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