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

K. V. Harutyunyan, A. G. Kamalyan, Ilya Spitkovsky

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages251-285
Number of pages35
DOIs
StatePublished - Jan 1 2018

Publication series

NameOperator Theory: Advances and Applications
Volume262
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Fingerprint

Triangular matrix
Matrix Function
Partial
Ordered Set
Triangular

Keywords

  • Factorization
  • Partial indices
  • Triangular matrices

ASJC Scopus subject areas

  • Analysis

Cite this

Harutyunyan, K. V., Kamalyan, A. G., & Spitkovsky, I. (2018). On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries. In 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.

Operator Theory: Advances and Applications. Springer International Publishing, 2018. p. 251-285 (Operator Theory: Advances and Applications; Vol. 262).

Research output: Chapter in Book/Report/Conference proceedingChapter

Harutyunyan, KV, Kamalyan, AG & Spitkovsky, I 2018, On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries. in 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
Harutyunyan KV, Kamalyan AG, Spitkovsky I. On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries. In Operator Theory: Advances and Applications. Springer International Publishing. 2018. p. 251-285. (Operator Theory: Advances and Applications). https://doi.org/10.1007/978-3-319-62527-0_8
Harutyunyan, K. V. ; Kamalyan, A. G. ; Spitkovsky, Ilya. / On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries. Operator Theory: Advances and Applications. Springer International Publishing, 2018. pp. 251-285 (Operator Theory: Advances and Applications).
@inbook{f7d3d6fa7acd4677b875bdfc0999a3d8,
title = "On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries",
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.",
keywords = "Factorization, Partial indices, Triangular matrices",
author = "Harutyunyan, {K. V.} and Kamalyan, {A. G.} and Ilya Spitkovsky",
year = "2018",
month = "1",
day = "1",
doi = "10.1007/978-3-319-62527-0_8",
language = "English (US)",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "251--285",
booktitle = "Operator Theory",

}

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 -