On the instability of the essential spectrum for block Jacobi matrices

2017/09/17 by Kupin, Stanislas, Naboko, Sergey
#FOS: Physical sciences #Mathematical Physics (math-ph) #Primary: 47B36 #Secondary: 47A10

paper · doi:10.48550/arxiv.1709.05726

Abstract

We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.

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