Some Remarks on CMV Matrices and Dressing Orbits

dc.creatorLi, Luen-Chau
dc.date2005-07-14
dc.date.accessioned2026-07-07T06:33:15Z
dc.date.available2026-07-07T06:33:15Z
dc.descriptionThe 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 note, 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.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0507299
dc.identifierhttp://arxiv.org/abs/math/0507299
dc.identifierInt. Math. Res. Not. 2005, no. 40, 2437-2446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99131
dc.subjectSymplectic Geometry
dc.subjectClassical Analysis and ODEs
dc.titleSome Remarks on CMV Matrices and Dressing Orbits
dc.typetext

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