Michael Francis Atiyah
Abstract
A well-known result of Schur [9] asserts that the diagonal elements (al,..., an) of annxn Hermitian matrix A satisfy a system of linear inequalities involving the eigenvalues (Xi,..., Xn). In geometric terms, regarding a and k as points in R " and allowing the symmetric group £ „ to act by permutation of coordinates, this result
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A well-known result of Schur [9] asserts that the diagonal elements (al,..., an) of annxn Hermitian matrix A satisfy a system of linear inequalities involving the eigenvalues (Xi,..., Xn). In geometric terms, regarding a and k as points in R " and allowing the symmetric group £ „ to act by permutation of coordinates, this result
Key concepts: Convexity, Citation, Mathematics, Mathematical economics, Algebra over a field, Combinatorics, Discrete mathematics, Computer science