Yuan's alternative theorem and the maximization of the minimum eigenvalue function
β Scribed by J. E. Martinez-Legaz; A. Seeger
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 306 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-3239
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π SIMILAR VOLUMES
Let \(\lambda_{n}(q)\) be the \(n\)th eigenvalue of the Sturm-Liouville equation \(y^{\prime \prime}+(\lambda-q(x)) y=0\), \(y(-l / 2)=y(l / 2)=0\). With certain restrictions on the class of functions \(q\) we determine the shapes of the solutions of the extremal problems for the functionals \(\lamb
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