CMV block matrices for symmetric matrix measures on the unit circle

Edinson Fuentes; Luis E. Garza

doi:10.1016/j.laa.2019.11.015

CMV block matrices for symmetric matrix measures on the unit circle

Edinson Fuentes, Luis E. Garza^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this contribution, we study the relationship between the CMV block matrices associated with two symmetric positive definite matrix measures supported on the unit circle. We also consider certain transformations of an orthogonality matrix measure supported on the unit circle, and deduce connection formulas for the corresponding orthogonal families and their Verblunsky matrix coefficients.

Original language	English
Pages (from-to)	314-333
Number of pages	20
Journal	Linear Algebra and Its Applications
Volume	587
DOIs	https://doi.org/10.1016/j.laa.2019.11.015
Publication status	Published - 15 Feb 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2019.11.015

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title = "CMV block matrices for symmetric matrix measures on the unit circle",

abstract = "In this contribution, we study the relationship between the CMV block matrices associated with two symmetric positive definite matrix measures supported on the unit circle. We also consider certain transformations of an orthogonality matrix measure supported on the unit circle, and deduce connection formulas for the corresponding orthogonal families and their Verblunsky matrix coefficients.",

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AU - Garza, Luis E.

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N2 - In this contribution, we study the relationship between the CMV block matrices associated with two symmetric positive definite matrix measures supported on the unit circle. We also consider certain transformations of an orthogonality matrix measure supported on the unit circle, and deduce connection formulas for the corresponding orthogonal families and their Verblunsky matrix coefficients.

AB - In this contribution, we study the relationship between the CMV block matrices associated with two symmetric positive definite matrix measures supported on the unit circle. We also consider certain transformations of an orthogonality matrix measure supported on the unit circle, and deduce connection formulas for the corresponding orthogonal families and their Verblunsky matrix coefficients.

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

CMV block matrices for symmetric matrix measures on the unit circle

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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