A linear function f: X Y is continuous if and only if it is bounded. Fortunately

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A linear function f: X → Y is continuous if and only if it is bounded. Fortunately every linear function on a finite-dimensional space is bounded and therefore continuous.

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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 11:47 AM

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A linear function f: X Y is continuous if and only if it is bounded. Fortunately

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Assume that is bounded that is x x for every x Then is Lipschitz at 0 with Lipschitz ...View the full answer

Foundations of Mathematical Economics

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