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Problem about Unitary Mapping

by mark5907
Tags: mapping, unitary
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Dec11-12, 05:40 PM
P: 1
U is a unitary mapping H to H, where H is hilbert space.

U = I + C, where I is the identity mapping and C is a compact mapping.

Prove U has a complete set of orthonormal eigenvectors and all eigenvalues have absolute value of 1

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