(a) Prove that the operation Ma[u(x)] = a(x)u(x) of multiplication by a fixed continuous function a(x) defines...

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(a) Prove that the operation Ma[u(x)] = a(x)u(x) of multiplication by a fixed continuous function a(x) defines a self-adjoint linear operator on the function space C0[a, b] with respect to the L2 inner product.
(b) Is Ma also self-adjoint with respect to the weighted inner product
(a) Prove that the operation Ma[u(x)] = a(x)u(x) of multiplication
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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