Concavity of Eigenvalue Sums and the Spe
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Vadim Kostrykin
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Article
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2000
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Elsevier Science
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English
β 170 KB
It is well known that the sum of negative (positive) eigenvalues of some finite Hermitian matrix V is concave (convex) with respect to V. Using the theory of the spectral shift function we generalize this property to self-adjoint operators on a separable Hilbert space with an arbitrary spectrum. Mor