Factorization of Measurable Matrix Functions |
Contents
| 11 | |
| 17 | |
29 | 44 |
General properties of factorization | 55 |
The criterion of factorability factorization | 82 |
0factorization of triangular matrix functions | 132 |
82 | 162 |
Some classes of factorable matrix functions | 169 |
Factorization on the circle | 253 |
Conditions of pfactorability in the space L | 296 |
The generalized Riemann boundary value problem | 316 |
| 340 | |
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Factorization of Measurable Matrix Functions G. S. Litvinchuk,I. M. Spitkovskii Limited preview - 2022 |
Common terms and phrases
_-operator According to Theorem admits a factorization algebra analytic assertion Banach algebras Banach space belongs boundary value problem bounded Calkin algebra codimension coefficient coincides Consequently contour Corollary defect numbers defined definition denote diagonal elements equal to zero equation equivalent exists factorable in Lp factorization factors factorization of G factorization problem formulae Fredholm Fredholm operators fulfilled function G functionally commutable G is factorable G₁ G₂ GOHBERG Hermitian matrix Hölder Hölder condition image of problem indices of G integral invertible K₁ kernel of problem KRUPNIK L₂ Lemma lineal matrix func non-degenerating non-negative normally solvable obtain operator orthogonal p-factorability p-indices P₁ partial indices piecewise continuous problem 3.1 proved relation representation Riemann boundary value Riemann problem right factorization satisfied scalar Section Smirnov SPITKOVSKIŤ subspace Theorem Theorem 2.6 total index triangular matrix function tuple of partial unitary matrix vector functions