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Spectral Bounds Using Higher-Order Numerical Ranges
Published online by Cambridge University Press: 01 February 2010
Abstract
This paper describes how to obtain bounds on the spectrum of a non-self-adjoint operator by means of what are referred to here as ‘its higher-order numerical ranges’. Proofs of some of their basic properties are given, as well as an explanation of how to compute them. Finally, they are used to obtain new spectral insights into the non-self-adjoint Anderson model in one and two space dimensions.
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- Copyright © London Mathematical Society 2005
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