Every element y in an inner product space X defines a continuous linear functional on X by

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Every element y in an inner product space X defines a continuous linear functional on X by fy(x) = xT y.

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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 11:48 AM

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For every x, y in an inner product space, |xT y| ||x|| ||y||
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Every element y in an inner product space X defines a continuous linear functional on X by

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For every y the partial function yx x y is a linear functi...View the full answer

Foundations of Mathematical Economics

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