## Factorization of measurable matrix functions |

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### Contents

Introduction | 11 |

Background information | 17 |

General properties of factorization | 55 |

Copyright | |

9 other sections not shown

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### Common terms and phrases

4-factorable According to Theorem admits a factorization AH rpy3CCP algebra analytic arbitrary assertion Banach Banach algebra Banach space belongs boundary value problem bounded CCCP coefficient coincides Consequently continuous matrix functions contour Corollary criterion defect numbers defined denote diagonal elements equal to zero equation equivalent exists factorization factors factorization of G factorization problem factors G finite formulae Fredholm Fredholm operators fulfilled function G G is factorable GOHBERG Hermitian matrix Holder condition image of problem indices of G inequality invertible KRUPNIK Lemma lineal MaTeM Math matrix func non-degenerating non-negative non-singular matrix norm normally solvable obtain operator orthogonal p-indices partial indices PHMaHa positively definite matrix problem 9.1 proof of Theorem proved relation representation Riemann boundary value satisfying scalar Section space SPITKOVSKII subspace TeopHH Theorem Theorem 6.6 tion G Toeplitz operators total index TQ(G triangular matrix function tuple of partial unitary matrix vector functions ypaBHeHHH