Approximation results for reflectionless Jacobi matrices

Details Approximation results for reflectionless Jacobi matrices Approximation results for reflectionless Jacobi matrices

2010-05-12

arxiv.org/abs/1005.2149v1

Mathematics

Spectral Theory

Scientific paper

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?

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