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An inequality for the eigenvalues of a class of self-adjoint operators
Author(s):
William
Stenger
Journal:
Bull. Amer. Math. Soc.
73
(1967),
487-490.
MathSciNet review:
0208385
Retrieve article in:
PDF
References |
Additional information
References:
- 1.
- A. Weinstein, Intermediate problems and the maximum-minimum theory of eigenvalues, J. Math. Mech. 12 (1963), 235-246. MR 155083
- 2.
- A. Weinstein, An invariant formulation of the maximum-minimum theory of eigenvalues, J. Math. Mech. 16 (1966), 213-218. MR 212604
- 3.
- W. Stenger, On Poincaré's bounds for higher eigenvalues, Bull. Amer. Math. Soc. 72 (1966), 715-718.
- 4.
- W. Stenger, The maximum-minimum principle for the eigenvalues of unbounded operators, Notices Amer. Math. Soc. 13 (1966), 731.
- 5.
- N. Aronszajn, The Rayleigh-Ritz and A. Weinstein methods for approximation of eigenvalues, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 474-480. MR 27955
- 6.
- H. Hamburger and M. E. Grimshaw, Linear transformations in n-dimensional vector space, Cambridge Univ. Press, Cambridge, 1951. MR 41355
- 7.
- G. Fichera, Linear elliptic differential systems and eigenvalue problems, Springer-Verlag, New York, 1965. MR 209639
- 8.
- S. H. Gould, Variational methods for eigenvalue problems. An introduction to the Weinstein method of intermediate problems, 2nd ed., Univ. of Toronto Press, Toronto, 1966. MR 209662
- 9.
- J. B. Diaz, Upper and lower bounds for eigenvalues, Proceedings of the Eighth Symposium on Applied Mathematics (American Mathematical Society), McGraw-Hill, New York, 1958. MR 93907
- 10.
- H. Weyl, Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen, Math. Ann. 71 (1911), 441-469.
Additional Information:
DOI:
10.1090/S0002-9904-1967-11789-0
PII:
S 0002-9904(1967)11789-0
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