arXiv Open Access 2021

A remark on the discrete spectrum of non-self-adjoint Jacobi operators

Leonid Golinskii

Lihat Sumber

Abstrak

We study the trace class perturbations of the whole-line, discrete Laplacian and obtain a new bound for the perturbation determinant of the corresponding non-self-adjoint Jacobi operator. Based on this bound, we refine the Lieb--Thirring inequality due to Hansmann--Katriel. The spectral enclosure for such operators is also discussed.

Topik & Kata Kunci

math.SP math.CA math.FA

Penulis (1)

Leonid Golinskii

Format Sitasi

APA MLA BibTeX

Golinskii, L. (2021). A remark on the discrete spectrum of non-self-adjoint Jacobi operators. https://arxiv.org/abs/2101.01974

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓