On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator
โ Scribed by O. H. Storozh; O. B. Shuvar
- Book ID
- 110440308
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 106 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A problem of m-parameter perturbation of a family of positive definite operators with fvted bounds on their spectrum is considered. A criterion for m Q 2 and a sufficient condition for m > 2 are obtained for the operators of the perturbed family to be positive definite.
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