The corona theorem and the existence of canonical factorization of triangular AP-matrix functions

被引：11

作者：

Bastos, MA

Karlovich, YI

dos Santos, AF

Tishin, PM

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1096 Lisbon, Portugal

[2] Ukrainian Acad Sci, Inst Marine Hydrophys, Hydroacoust Dept, UA-270100 Odessa, Ukraine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 223卷 / 02期

关键词：

canonical factorization; corona theorem; almost periodic matrix function;

D O I：

10.1006/jmaa.1998.5968

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the corona theorem, canonical factorizability criteria for triangular almost periodic matrix-valued functions of the form [GRAPHICS] are obtained. This allows the authors to obtain effective criteria for the existence of canonical factorization as well as to construct explicit factorizations for new classes of almost periodic matrix functions in a companion paper. (C) 1998 Academic Press.

引用

页码：494 / 522

页数：29

共 30 条

[1] [Anonymous], 1992, ONE DIMENSIONAL LINE
[2] [Anonymous], MATH USSR IZVESTIYA
[3] Bastos M. A., 1998, OPERATOR THEORY ADV, V103, P53
[4] CONVOLUTION EQUATIONS OF THE 1ST KIND ON A FINITE INTERVAL IN SOBOLEV SPACES
BASTOS, MA
DOSSANTOS, AF
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1990, 13 (05) : 638 - 659
[5] FINITE INTERVAL CONVOLUTION-OPERATORS ON THE BESSEL POTENTIAL SPACES H-P(S)
BASTOS, MA
DOSSANTOS, AF
DUDUCHAVA, R
[J]. MATHEMATISCHE NACHRICHTEN, 1995, 173 : 49 - 63
[6] The corona theorem and the canonical factorization of triangular AP matrix functions - Effective criteria and explicit formulas
Bastos, MA
Karlovich, YI
dos Santos, AF
Tishin, PM
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 223 (02) : 523 - 550
[7] TOEPLITZ-OPERATORS WITH SEMI-ALMOST PERIODIC SYMBOLS ON SPACES WITH MUCKENHOUPT WEIGHT
BOTTCHER, A
KARLOVICH, YI
SPITKOVSKY, IM
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 1994, 18 (03) : 261 - 276
[8] Bottcher A., 1997, Progr. Math.
[9] INTERPOLATIONS BY BOUNDED ANALYTIC FUNCTIONS AND CORONA PROBLEM
CARLESON, L
[J]. ANNALS OF MATHEMATICS, 1962, 76 (03) : 547 - &
[10] Garnett JB., 2007, Bounded Analytic Functions

← 1 2 3 →