Quantitative results on continuity of the spectral factorization mapping

L. Ephremidze, E. Shargorodsky, Ilya Spitkovsky

Research output: Contribution to journalArticle

Abstract

The spectral factorization mapping F → F+ puts a positive definite integrable matrix function F having an integrable logarithm of the determinant in correspondence with an outer analytic matrix function F+ such that F = F+(F+) almost everywhere. The main question addressed here is to what extent ||F+ − G+||H2 is controlled by ||F − G||L1 and F − log det G||L1.

Original languageEnglish (US)
JournalJournal of the London Mathematical Society
DOIs
StateAccepted/In press - Jan 1 2019

Fingerprint

Spectral Factorization
Matrix Function
Logarithm
Positive definite
Analytic function
Determinant
Correspondence

Keywords

  • 30D99
  • 46E30
  • 46E40 (secondary)
  • 47A68 (primary)

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Quantitative results on continuity of the spectral factorization mapping. / Ephremidze, L.; Shargorodsky, E.; Spitkovsky, Ilya.

In: Journal of the London Mathematical Society, 01.01.2019.

Research output: Contribution to journalArticle

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