On the Removal of Finite Discrete Spectrum by Coefficient Stripping

Barry Simon

Type: Article

Publication Date: 2011-03-28

Citations: 1

DOI: https://doi.org/10.4171/jst/3

Abstract

We prove for a large class of operators, J , including block Jacobi matrices, if \sigma(J) \setminus [\alpha,\beta] is a finite set, each point of which is an eigenvalue of finite multiplicity, then a finite coefficient stripped, J_N , has \sigma(J_N)\subset [\alpha,\beta] . We use an abstract Dirichlet decoupling.

Locations

Journal of Spectral Theory - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF

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