## 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 algebra analytic arbitrary assertion Banach Banach algebra Banach space belongs boundary value problem bounded CCCP coefficient coincide Consequently continuous matrix functions contour Corollary criterion defect numbers defined denote diagonal elements domain eigenvalues equal to zero equation equivalent exists factorable in Lp factorization of G factorization problem finite formulae Fredholm Fredholm operators fulfilled function G G in Lp G is factorable GOHBERG Hermitian matrix Holder condition image of problem indices of G inequality invertible Lemma lineal MaTeM Math matrix func non-degenerating non-negative non-singular matrix norm normally solvable obtained operator orthogonal p-indices partial indices PHMaHa polynomial positively definite matrix problem 3.1 proof of Theorem proved relation representation Riemann boundary value satisfying scalar Section SPITKOVSKII subspace TeopHH Theorem Theorems 6.6 theory tion G Toeplitz operators total index Tq(G triangular matrix function tuple of partial unitary matrix vector functions ypaBHeHHH