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Computation of eigenvalues of perturbed discrete semibounded operators

✍ Scribed by S. I. Kadchenko; I. I. Kinzina


Book ID
110194587
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
162 KB
Volume
46
Category
Article
ISSN
0965-5425

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πŸ“œ SIMILAR VOLUMES


The Discrete Spectrum in the Spectral Ga
✍ O.L. Safronov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 105 KB

Given two self-adjoint operators A and V = V + -V -, we study the motion of the eigenvalues of the operator A t = A -tV as t increases. Let Ξ± > 0 and let Ξ» be a regular point for A. We consider the quantities N + V Ξ» Ξ± , N -V Ξ» Ξ± , and N 0 V Ξ» Ξ± defined as the number of eigenvalues of the operator A