Let X and Y be Banach spaces. Any linear function f: X Y is continuous if

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Let X and Y be Banach spaces. Any linear function f: X → Y is continuous if and only if its graph
graph (f) = {(x, y) : y = f(x), x ∊ X}
is a closed subset of X × 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 11:47 AM

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Let X and Y be Banach spaces. Any linear function f: X Y is continuous if

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For any function continuity implies closed graph Exerci...View the full answer

Foundations of Mathematical Economics

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