Prove that does not define an inner product on the vector space C°[ - 1, 1]. Explain

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Prove that

does not define an inner product on the vector space C°[ - 1, 1]. Explain why this does not contradict the fact that it defines an inner product on the vector space C°[0, 1 ]. Does it define an inner product on the subspace P(n)

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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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Prove that does not define an inner product on the vector space C°[ - 1, 1]. Explain

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f&)f(x)g(x) dx

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If fx is any nonzero function that satisfies fx 0 for all 0 x 1 then f f 0 An example is the funct...View the full answer

Applied Linear Algebra

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