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Proceedings of the American Mathematical Society

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Generalizations of Temple's inequality

Author: Evans M. Harrell
Journal: Proc. Amer. Math. Soc. 69 (1978), 271-276
MSC: Primary 49G20
MathSciNet review: 0487733
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Abstract: T. Kato's little-known generalization of a classic variational inequality for eigenvalues is extended to the case of normal operators and briefly discussed.

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  • [2] Evans M. Harrell II, Singular perturbation potentials, Ann. Physics 105 (1977), no. 2, 379–406. MR 0449317
  • [3] Tosio Kato, On the upper and lower bounds of eigenvalues, J. Phys. Soc. Japan 4 (1949), 334–339. MR 0038738
  • [4] Tosio Kato, On the convergence of the perturbation method. I, Progress Theoret. Physics 4 (1949), 514–523. MR 0034510
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  • [7] G. Temple, The theory of Rayleigh's principle as applied to continuous systems, Proc. Roy. Soc. London Ser. A 119 (1928), 276-293.

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Keywords: Temple's inequality, bounds for eigenvalues, normal operators, unitary operators, trial functions
Article copyright: © Copyright 1978 American Mathematical Society