Approximation results for reflectionless Jacobi matrices

Published 12 May 2010 in math.SP and math.CV | (1005.2149v1)

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?

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