Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals

B. Eichinger; F. Puchhammer; P. Yuditskii

doi:10.1007/s40315-014-0104-9

Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals

B. Eichinger, F. Puchhammer, P. Yuditskii

Johannes Kepler University Linz

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We give a free parametric representation for the coefficient sequences of Jacobi matrices whose spectral measures satisfy the Killip–Simon condition with respect to two (arbitrary) disjoint intervals. This parametrization is given by means of the Jacobi flow on SMP matrices, which we introduce here.

Original language	English
Pages (from-to)	3-41
Number of pages	39
Journal	Computational Methods and Function Theory
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s40315-014-0104-9
State	Published - 1 Mar 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.

Funding

P. Yuditskii was supported by the Austrian Science Fund FWF, Project No. P22025-N18.

Funders	Funder number
Austrian Science Fund	P22025-N18

Keywords

Functional models
Hilbert–Schmidt class
Killip–Simon theorem
Periodic Jacobi and CMV matrices
Strong moment problem

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10.1007/s40315-014-0104-9

Cite this

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AU - Puchhammer, F.

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KW - Hilbert–Schmidt class

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KW - Periodic Jacobi and CMV matrices

KW - Strong moment problem

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Jacobi Flow on SMP Matrices and Killip–Simon Problem on Two Disjoint Intervals

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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