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A Norm Inequality for Linear Transformations
Published online by Cambridge University Press: 20 November 2018
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In 1949 Ky Fan [1] proved the following result: Let λ1…λn be the eigenvalues of an Hermitian operator H on an n-dimensional vector space Vn. If x1, …, xq is an orthonormal set in V1, and q is a positive integer such n that 1 ≤ q ≤ n, then
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- Copyright © Canadian Mathematical Society 1961