Does either of the following define an inner product on C[0, 1 ]? (a) = f(0)g(0) +

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Does either of the following define an inner product on C°[0, 1 ]?
(a) = f(0)g(0) + f(l)g(l)
(b) (f.g) = f(0)g(0) + f(l)g(l)
+ f-10 f(x)g(x)dx

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:36 AM

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Does either of the following define an inner product on C[0, 1 ]? (a) = f(0)g(0) +

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a No positivity doesnt hold since if f0 f1 0 then f f 0 even if fx 0 for ...View the full answer

Applied Linear Algebra

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