### Abstract

For a triangular n-by-n matrix function with a fixed ordered set of the indices of its diagonal entries, an explicit description is obtained for all possible n-tuples of the partial indices.

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

Subtitle of host publication | Advances and Applications |

Publisher | Springer International Publishing |

Pages | 251-285 |

Number of pages | 35 |

DOIs | |

State | Published - Jan 1 2018 |

### Publication series

Name | Operator Theory: Advances and Applications |
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Volume | 262 |

ISSN (Print) | 0255-0156 |

ISSN (Electronic) | 2296-4878 |

### Fingerprint

### Keywords

- Factorization
- Partial indices
- Triangular matrices

### ASJC Scopus subject areas

- Analysis

### Cite this

*Operator Theory: Advances and Applications*(pp. 251-285). (Operator Theory: Advances and Applications; Vol. 262). Springer International Publishing. https://doi.org/10.1007/978-3-319-62527-0_8

**On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries.** / Harutyunyan, K. V.; Kamalyan, A. G.; Spitkovsky, Ilya.

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

*Operator Theory: Advances and Applications.*Operator Theory: Advances and Applications, vol. 262, Springer International Publishing, pp. 251-285. https://doi.org/10.1007/978-3-319-62527-0_8

}

TY - CHAP

T1 - On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries

AU - Harutyunyan, K. V.

AU - Kamalyan, A. G.

AU - Spitkovsky, Ilya

PY - 2018/1/1

Y1 - 2018/1/1

N2 - For a triangular n-by-n matrix function with a fixed ordered set of the indices of its diagonal entries, an explicit description is obtained for all possible n-tuples of the partial indices.

AB - For a triangular n-by-n matrix function with a fixed ordered set of the indices of its diagonal entries, an explicit description is obtained for all possible n-tuples of the partial indices.

KW - Factorization

KW - Partial indices

KW - Triangular matrices

UR - http://www.scopus.com/inward/record.url?scp=85044940077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044940077&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-62527-0_8

DO - 10.1007/978-3-319-62527-0_8

M3 - Chapter

AN - SCOPUS:85044940077

T3 - Operator Theory: Advances and Applications

SP - 251

EP - 285

BT - Operator Theory

PB - Springer International Publishing

ER -