### Abstract

Explicit factorization formulas are established for triangular almost periodic matrix functions with trinomial off diagonal terms in the so-called borderline cases. An application to a more general configuration via the Portuguese transformation also is given.

Original language | English (US) |
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Title of host publication | Topics in Operator Theory |

Subtitle of host publication | Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008 |

Editors | Joseph A. Ball, Vladimir Bolotnikov, Leiba Rodman, Ilya M. Spitkovsky, J. William Helton |

Publisher | Springer International Publishing |

Pages | 337-354 |

Number of pages | 18 |

ISBN (Print) | 9783034601573 |

DOIs | |

State | Published - 2010 |

Event | 19th International Workshop on Operator Theory and its Applications, IWOTA 2008 - Williamsburg, United States Duration: Jul 22 2008 → Jul 26 2008 |

### Publication series

Name | Operator Theory: Advances and Applications |
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Volume | 202 |

ISSN (Print) | 0255-0156 |

ISSN (Electronic) | 2296-4878 |

### Other

Other | 19th International Workshop on Operator Theory and its Applications, IWOTA 2008 |
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Country | United States |

City | Williamsburg |

Period | 7/22/08 → 7/26/08 |

### Keywords

- Almost periodic matrix functions
- Factorization
- Portuguese transformation

### ASJC Scopus subject areas

- Analysis

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## Cite this

Karlovich, Y. I., & Spitkovsky, I. M. (2010). Almost periodic polynomial factorization of some triangular matrix functions. In J. A. Ball, V. Bolotnikov, L. Rodman, I. M. Spitkovsky, & J. W. Helton (Eds.),

*Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008*(pp. 337-354). (Operator Theory: Advances and Applications; Vol. 202). Springer International Publishing. https://doi.org/10.1007/978-3-0346-0158-0_19