### Abstract

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

Original language | English (US) |
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Pages (from-to) | 71-91 |

Number of pages | 21 |

Journal | Integral Equations and Operator Theory |

Volume | 36 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2000 |

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory

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## Cite this

Böttcher, A., Grudsky, S. M., & Spitkovsky, I. M. (2000). Matrix functions with arbitrarily prescribed left and right partial indices.

*Integral Equations and Operator Theory*,*36*(1), 71-91. https://doi.org/10.1007/BF01236287