### Abstract

Canonical factorization criterion is established for a class of block triangular almost periodic matrix functions. Explicit factorization formulas are also obtained, and the geometric mean of matrix functions in question is computed.

Original language | English (US) |
---|---|

Title of host publication | Operator Theory |

Subtitle of host publication | Advances and Applications |

Publisher | Springer International Publishing |

Pages | 25-52 |

Number of pages | 28 |

State | Published - Jan 1 2014 |

### Publication series

Name | Operator Theory: Advances and Applications |
---|---|

Volume | 242 |

ISSN (Print) | 0255-0156 |

ISSN (Electronic) | 2296-4878 |

### Fingerprint

### Keywords

- Almost periodic factorization
- Geometric mean

### ASJC Scopus subject areas

- Analysis

### Cite this

*Operator Theory: Advances and Applications*(pp. 25-52). (Operator Theory: Advances and Applications; Vol. 242). Springer International Publishing.

**On the factorization of some block triangular almost periodic matrix functions.** / Bastos, M. Amélia; Bravo, António; Karlovich, Yuri I.; Spitkovsky, Ilya.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Operator Theory: Advances and Applications.*Operator Theory: Advances and Applications, vol. 242, Springer International Publishing, pp. 25-52.

}

TY - CHAP

T1 - On the factorization of some block triangular almost periodic matrix functions

AU - Bastos, M. Amélia

AU - Bravo, António

AU - Karlovich, Yuri I.

AU - Spitkovsky, Ilya

PY - 2014/1/1

Y1 - 2014/1/1

N2 - Canonical factorization criterion is established for a class of block triangular almost periodic matrix functions. Explicit factorization formulas are also obtained, and the geometric mean of matrix functions in question is computed.

AB - Canonical factorization criterion is established for a class of block triangular almost periodic matrix functions. Explicit factorization formulas are also obtained, and the geometric mean of matrix functions in question is computed.

KW - Almost periodic factorization

KW - Geometric mean

UR - http://www.scopus.com/inward/record.url?scp=84958972097&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958972097&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:84958972097

T3 - Operator Theory: Advances and Applications

SP - 25

EP - 52

BT - Operator Theory

PB - Springer International Publishing

ER -