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
โฆ LIBER โฆ
Self-adjointness of relatively bounded quadratic forms and operators
โ Scribed by Oliver A. McBryan
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 313 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Bounds on Perturbations of Self-Adjoint
โ
Edward L. Green
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 160 KB
Finite-dimensional perturbations of boun
โ
R.D Brown
๐
Article
๐
1978
๐
Elsevier Science
๐
English
โ 398 KB
On the inertias of symmetric matrices an
โ
Jerome Dancis
๐
Article
๐
1988
๐
Elsevier Science
๐
English
โ 395 KB
Positivity preserving operators and one
โ
M.A Perelmuter
๐
Article
๐
1981
๐
Elsevier Science
๐
English
โ 608 KB
On Form-Sum Approximations of Singularly
โ
Sergio Albeverio; Volodymyr Koshmanenko
๐
Article
๐
1999
๐
Elsevier Science
๐
English
โ 227 KB
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
Comparison theorems for oscillation of n
โ
John Gregory
๐
Article
๐
1977
๐
Elsevier Science
๐
English
โ 370 KB