Darboux transformations for CMV matrices

We develop a theory of Darboux transformations for CMV matrices, canonical representations of the unitary operators. In perfect analogy with their self-adjoint version – the Darboux transformations of Jacobi matrices – they are equivalent to Laurent polynomial modifications of the underlying measure...

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Bibliographic Details
Published in:	Advances in mathematics (New York. 1965) Vol. 298; pp. 122 - 206
Main Authors:	Cantero, M.J., Marcellán, F., Moral, L., Velázquez, L.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 06.08.2016
Subjects:	Ablowitz–Ladik system Cholesky factorizations CMV matrices Darboux transformations Measures on the unit circle Orthogonal Laurent polynomials Schur flows Spectral transformations Darboux transformations Ablowitz–Ladik system 47B36 15A23 Spectral transformations CMV matrices Orthogonal Laurent polynomials 42C05 Cholesky factorizations Measures on the unit circle Schur flows
ISSN:	0001-8708, 1090-2082
Online Access:	Get full text
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