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Perturbations of isolated eigenvalues

✍ Scribed by Ali Ben Amor

Book ID
105650400
Publisher
Springer Milan
Year
2000
Tongue
Italian
Weight
77 KB
Volume
49
Category
Article
ISSN
0009-725X

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πŸ“œ SIMILAR VOLUMES

On the perturbation theory of instable i
On the perturbation theory of instable isolated eigenvalues
✍ M. Demuth πŸ“‚ Article πŸ“… 1974 πŸ› John Wiley and Sons 🌐 English βš– 446 KB

## Abstract The problem of the perturbation of an operator having a continuous spectrum and an isolated eigenvalue Ξ»~0~ is considered by means of the theory on embedded eigenvalues. The perturbation is divided up into two parts. One part is used for embedding the isolated eigenvalue Ξ»~0~. This embe

Perturbation in eigenvalues
Perturbation in eigenvalues
✍ William W. Hager; Roger N. Pederson πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 713 KB
Finite and continuous perturbations of m
Finite and continuous perturbations of matrix eigenvalues
✍ A.L Andrew πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 306 KB

An elementary proof is given that some well-known formulae for derivatives of eigenvalues of matrix-valued functions hold under weaker hypotheses than are required by the usual proofs. The relationship between continuous and finite perturbations is also discussed.

Domain Perturbations, Shift of Eigenvalu
Domain Perturbations, Shift of Eigenvalues and Capacity
✍ AndrΓ© Noll πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 209 KB

The notion of capacity of a subspace which was introduced in [16] is used to prove new estimates on the shift of the eigenvalues which arises if the form domain of a self-adjoint and semibounded operator is restricted to a smaller subspace. The upper bound on the shift of the spectral bound given in