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CMV block matrices for symmetric matrix measures on the unit circle

  • Edinson Fuentes
    ,
  • Luis E. Garza
  • Universidad Nacional de Colombia
    ,
  • Universidad de Colima
Research Output: Contribution to journal Article Peer-review

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0.23
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2
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37

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.

Publication Information

Output type

Research Output: Contribution to journal Article Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 314-333 (20 pages)

Journal (Volume, Issue Number)

Linear Algebra and Its Applications (Volume 587)

Publication milestones

  • Published - 15/02/2020

Publication status

Published - 15/02/2020

ISSN

0024-3795

Publication IDs

  • Scopus: 85075522508

Access to documents

Funding Details

We thank the anonymous referees for their useful comments and suggestions. They greatly contributed to improve the contents and presentation of the manuscript. The work of the second author was partially supported by Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain, under grant MTM2015-65888-C4-2-P and by México's Consejo Nacional de Ciencia y Tecnología (Conacyt) Grant 287523 . We thank the anonymous referees for their useful comments and suggestions. They greatly contributed to improve the contents and presentation of the manuscript. The work of the second author was partially supported by Direcci?n General de Investigaci?n Cient?fica y T?cnica, Ministerio de Econom?a y Competitividad of Spain, under grant MTM2015-65888-C4-2-P and by M?xico's Consejo Nacional de Ciencia y Tecnolog?a (Conacyt) Grant 287523.
FundersFunding numbers
Direcci?n General de Investigaci?n Cient?fica y T?cnica
-
CONACYT
287523
MINECO
MTM2015-65888-C4-2-P
DGICT
-
FONACYT
-