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Some lemmata on the perturbation of the spectrum

Spectral Theory 2019-08-27 v1

Abstract

We give some sufficient conditions for preserving of the second term in the spectral asymptotics of a compact operator under the perturbation of the metrics in the Hilbert space.

Keywords

Cite

@article{arxiv.1908.09365,
  title  = {Some lemmata on the perturbation of the spectrum},
  author = {Alexander I. Nazarov},
  journal= {arXiv preprint arXiv:1908.09365},
  year   = {2019}
}

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6 pages