Spectral enclosures for non-self-adjoint Jacobi operators
Abstract
We study the ℓp-perturbations of the discrete Laplacian and obtain the spectral enclosures of corresponding non-self-adjoint Jacobi operator. By invoking the Birman-Schwinger principle and establishing norm estimates for the Birman-Schwinger operator, for p = 1, we get the location of the eigenvalues, and the optimal bounds is given under the rank-one and rank-two perturbations. For 1 < p ≤ ∞, we get the spectral bounds.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Quantum Mechanics and Non-Hermitian Physics
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN