Point Spectrum of Singularly Perturbed Self-Adjoint Operators
β Scribed by O. Yu. Konstantinov
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 235 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
We discuss singular perturbations of a self-adjoint positive operator A in Hilbert space H formally given by A T =A+T, where T is a singular positive operator (singularity means that Ker T is dense in H). We prove the following result: if T is strongly singular with respect to A in the sense that Ke
An improvement of a perturbation theory lemma by M. M. Skriganov which gives an upper bound to the shift of eigenvalues is presented along with other related theorems. These results are also compared with Temple's inequality and the generalized Temple's inequality. Applications to spectral theory of