English

New Constants in Discrete Lieb-Thirring Inequalities for Jacobi Matrices

Functional Analysis 2013-12-09 v1 Spectral Theory

Abstract

This paper is essentially derived from the observation that some results used for improving constants in the Lieb-Thirring inequalities for Schrodinger operators in L2(-\infty,\infty) can be translated to the discrete Schrodinger op- erators and more generally to Jacobi matrices. Some results were previ- ously proved by D. Hundertmark and B. Simon and the aim of this article is to improve the constants obtained in their article [7].

Keywords

Cite

@article{arxiv.1312.1907,
  title  = {New Constants in Discrete Lieb-Thirring Inequalities for Jacobi Matrices},
  author = {Arman Sahovic},
  journal= {arXiv preprint arXiv:1312.1907},
  year   = {2013}
}