Spectral bounds for periodic Jacobi matrices
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916471446175744 |
|---|---|
| author | Hatinoğlu, Burak |
| author_facet | Hatinoğlu, Burak |
| contents | We consider periodic Jacobi operators and obtain upper and lower estimates on the sizes of the spectral bands. Our proofs are based on estimates on the logarithmic capacities and connections between the Chebyshev polynomials and logarithmic capacity of compact subsets of the real line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15136 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectral bounds for periodic Jacobi matrices Hatinoğlu, Burak Spectral Theory Classical Analysis and ODEs 47B36, 47E05, 41A50 We consider periodic Jacobi operators and obtain upper and lower estimates on the sizes of the spectral bands. Our proofs are based on estimates on the logarithmic capacities and connections between the Chebyshev polynomials and logarithmic capacity of compact subsets of the real line. |
| title | Spectral bounds for periodic Jacobi matrices |
| topic | Spectral Theory Classical Analysis and ODEs 47B36, 47E05, 41A50 |
| url | https://arxiv.org/abs/2311.15136 |