Some remarks on CMV matrices and dressing orbits
The CMV matrices are the unitary analogs of Jacobi matrices. In the finite case, it is well known that the set of Jacobi matrices with a fixed trace is nothing but a coadjoint orbit of the lower triangular group. In this paper, we will give the analog of this result for the CMV matrices. En route, w...
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| Published in | International Mathematics Research Notices Vol. 2005; no. 40; pp. 2437 - 2446 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Hindawi Publishing Corporation
21.09.2005
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| Online Access | Get full text |
| ISSN | 1073-7928 1687-1197 1687-0247 |
| DOI | 10.1155/IMRN.2005.2437 |
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| Summary: | The CMV matrices are the unitary analogs of Jacobi matrices. In the finite case, it is well known that the set of Jacobi matrices with a fixed trace is nothing but a coadjoint orbit of the lower triangular group. In this paper, we will give the analog of this result for the CMV matrices. En route, we also discuss the Hamiltonian formulation of the Lax equations for the defocusing Ablowitz-Ladik hierarchy. |
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| Bibliography: | ark:/67375/HXZ-TCW9KFTB-X PII:S1073792805152635 istex:516F9B3FAC3F8FCACCA9441A6D6EA52C3563DA84 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 1073-7928 1687-1197 1687-0247 |
| DOI: | 10.1155/IMRN.2005.2437 |