Matrix functions with arbitrarily prescribed left and right partial indices

A. Böttcher, S. M. Grudsky, Ilya Spitkovsky

Research output: Contribution to journalArticle

Abstract

We prove that if n ≥ 2 and ρ, λ are two given vectors in Zn, then there exists a matrix function in L n×n(T) which has a rigth Wiener-Hopf factorization in L2 with the partial indices ρ and a left Wiener-Hopf factorization in L2 with the partial indices λ.

Original languageEnglish (US)
Pages (from-to)71-91
Number of pages21
JournalIntegral Equations and Operator Theory
Volume36
Issue number1
DOIs
StatePublished - Jan 1 2000

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Wiener-Hopf Factorization
Matrix Function
Partial

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

Cite this

Matrix functions with arbitrarily prescribed left and right partial indices. / Böttcher, A.; Grudsky, S. M.; Spitkovsky, Ilya.

In: Integral Equations and Operator Theory, Vol. 36, No. 1, 01.01.2000, p. 71-91.

Research output: Contribution to journalArticle

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