Let x0 be an element of a normed linear space X. There exists a linear functional f

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Let x0 be an element of a normed linear space X. There exists a linear functional f ∈ X* such that ||f|| = 1 and f(x0) = ||x0||.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:44 AM

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Let x0 be an element of a normed linear space X. There exists a linear functional f

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If x 0 0 any bounded linear functional will do Therefore assume x ...View the full answer

Foundations of Mathematical Economics

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