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Published 2011 | Submitted
Journal Article Open

On the Removal of Finite Discrete Spectrum by Coefficient Stripping

Abstract

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

Additional Information

© 2011 European Mathematical Society. Received July 1, 2010, revised August 26, 2010. Supported in part by NSF grant DMS-0652919.

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Created:
August 19, 2023
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