English

Lower bounds for the counting function of integral operators

Spectral Theory 2013-08-20 v1

Abstract

The paper presents a lower bound for the number of negative eigenvalues of an integral operator with continuous kernel K lying below a nonpositive number t. The estimate is given in terms of some integrals of K.

Cite

@article{arxiv.1308.4078,
  title  = {Lower bounds for the counting function of integral operators},
  author = {Yuri Safarov},
  journal= {arXiv preprint arXiv:1308.4078},
  year   = {2013}
}
R2 v1 2026-06-22T01:11:39.734Z