Show that the metric p(x,y) = || x - y|| satisfies the properties of a metric, and

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Show that the metric p(x,y) = || x - y|| satisfies the properties of a metric, and hence that a normed linear space is a metric space.

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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 11:29 AM

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Show that the metric p(x,y) = || x - y|| satisfies the properties of a metric, and

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1 x y x y 0 2 x y x y 0 if and only if x y 0 that ...View the full answer

Foundations of Mathematical Economics

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