dc.identifier.uri |
http://dx.doi.org/10.15488/2340 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2366 |
|
dc.contributor.author |
Hagger, Raffael
|
|
dc.date.accessioned |
2017-11-17T10:07:36Z |
|
dc.date.available |
2017-11-17T10:07:36Z |
|
dc.date.issued |
2016 |
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dc.identifier.citation |
Hagger, R.: On the spectrum and numerical range of tridiagonal random operators. In: Journal of Spectral Theory 6 (2016), Nr. 2, S. 215-266. DOI: https://doi.org/10.4171/JST/124 |
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dc.description.abstract |
In this paper we derive an explicit formula for the numerical range of (non-selfadjoint) tridiagonal random operators. As a corollary we obtain that the numerical range of such an operator is always the convex hull of its spectrum, this (surprisingly) holding whether or not the random operator is normal. Furthermore, we introduce a method to compute numerical ranges of (not necessarily random) tridiagonal operators that is based on the Schur test. In a somewhat combinatorial approachwe use thismethod to compute the numerical range of the square of the (generalized) Feinberg-Zee random hopping matrix to obtain an improved upper bound to the spectrum. In particular, we show that the spectrum of the Feinberg-Zee random hopping matrix is not convex. © European Mathematical Society. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Zürich : European Mathematical Society Publishing House |
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dc.relation.ispartofseries |
Journal of Spectral Theory 6 (2016), Nr. 2 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich. |
|
dc.subject |
Numerical range |
eng |
dc.subject |
Pseudo-ergodic |
eng |
dc.subject |
Random operator |
eng |
dc.subject |
Spectrum |
eng |
dc.subject |
Tridiagonal |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
On the spectrum and numerical range of tridiagonal random operators |
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dc.type |
Article |
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dc.type |
Text |
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dc.relation.issn |
1664-039X |
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dc.relation.doi |
https://doi.org/10.4171/JST/124 |
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dc.bibliographicCitation.issue |
2 |
|
dc.bibliographicCitation.volume |
6 |
|
dc.bibliographicCitation.firstPage |
215 |
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dc.bibliographicCitation.lastPage |
266 |
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dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|