On the Spectral Behaviour of a Non-self-adjoint Operator with Complex Potential |
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Authors: | Carmen Martínez Adame |
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Institution: | (1) Departamento de Matemáticas, Facultad de Ciencias, UNAM, Ciudad Universitaria, 04510 México D.F., Mexico |
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Abstract: | We consider the non-self-adjoint Anderson operator with a complex potential as a pseudo-ergodic operator in one spatial dimension
and use second order numerical ranges to obtain tight bounds on the spectrum of the operator. We also find estimates for the
size of possible holes contained in the spectrum of such an operator.
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Keywords: | Complex potential Non-self-adjoint Anderson model Numerical range Spectrum |
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