English

Approximation results for reflectionless Jacobi matrices

Spectral Theory 2010-05-13 v1 Complex Variables

Abstract

We study spaces of reflectionless Jacobi matrices. The main theme is the following type of question: Given a reflectionless Jacobi matrix, is it possible to approximate it by other reflectionless and, typically, simpler Jacobi matrices of a special type? For example, can we approximate by periodic operators?

Keywords

Cite

@article{arxiv.1005.2149,
  title  = {Approximation results for reflectionless Jacobi matrices},
  author = {Alexei Poltoratski and Christian Remling},
  journal= {arXiv preprint arXiv:1005.2149},
  year   = {2010}
}
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