On the factorization of some block triangular almost periodic matrix functions

M. Amélia Bastos, António Bravo, Yuri I. Karlovich, Ilya Spitkovsky

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages25-52
Number of pages28
StatePublished - Jan 1 2014

Publication series

NameOperator Theory: Advances and Applications
Volume242
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Fingerprint

Matrix Function
Almost Periodic
Periodic Functions
Triangular
Factorization
Sum formula
Geometric mean
Class

Keywords

  • Almost periodic factorization
  • Geometric mean

ASJC Scopus subject areas

  • Analysis

Cite this

Bastos, M. A., Bravo, A., Karlovich, Y. I., & Spitkovsky, I. (2014). On the factorization of some block triangular almost periodic matrix functions. In 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.

Operator Theory: Advances and Applications. Springer International Publishing, 2014. p. 25-52 (Operator Theory: Advances and Applications; Vol. 242).

Research output: Chapter in Book/Report/Conference proceedingChapter

Bastos, MA, Bravo, A, Karlovich, YI & Spitkovsky, I 2014, On the factorization of some block triangular almost periodic matrix functions. in Operator Theory: Advances and Applications. Operator Theory: Advances and Applications, vol. 242, Springer International Publishing, pp. 25-52.
Bastos MA, Bravo A, Karlovich YI, Spitkovsky I. On the factorization of some block triangular almost periodic matrix functions. In Operator Theory: Advances and Applications. Springer International Publishing. 2014. p. 25-52. (Operator Theory: Advances and Applications).
Bastos, M. Amélia ; Bravo, António ; Karlovich, Yuri I. ; Spitkovsky, Ilya. / On the factorization of some block triangular almost periodic matrix functions. Operator Theory: Advances and Applications. Springer International Publishing, 2014. pp. 25-52 (Operator Theory: Advances and Applications).
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