Spectral estimates for the one-dimensional non-self-adjoint Anderson model
We obtain bounds on the spectrum of the non-self-adjoint Anderson operator in one dimension by using higher order numerical ranges and are able to determine the spectrum completely in many cases. We also develop further some previously existing methods that allow us to prove that certain curves and...
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2006 |
| Country: | México |
| Institution: | Universidad Nacional Autónoma de México |
| Repository: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1251 |
| Online Access: | http://hdl.handle.net/11154/1251 |
| Access Level: | Open access |
| Keyword: | Mathematics Anderson model non-self-adjoint operator spectrum numerical range ergodic operator |
| Summary: | We obtain bounds on the spectrum of the non-self-adjoint Anderson operator in one dimension by using higher order numerical ranges and are able to determine the spectrum completely in many cases. We also develop further some previously existing methods that allow us to prove that certain curves and regions are contained in the spectrum and provide numerical examples that suggest that these curves contained in the infinite volume spectrum have a strong bearing over the finite volume cases. |
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