EXTENSION PROBLEM TO AN INVERTIBLE MATRIX

被引：21

作者：

TOLOKONNIKOV, V

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 117卷 / 04期

关键词：

BANACH ALGEBRAS; SUBALGEBRAS OF H-INFINITY; MATRICES; PROJECTIVE MODULES; VECTOR BUNDLES;

D O I：

10.2307/2159529

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The extension problem for rectangular matrices with values in Banach algebra to an invertible square matrix is investigated. For this problem to be solvable for a matrix D , the following condition is necessary: for every maximal ideal m of the algebra, the numerical matrix D(m) must have maximal rank. This condition is sufficient for many algebras, for example, for the algebras H(infinity)(R) of bounded analytic functions in a plane finitely connected domain R and to Sarason subalgebras in the algebra H(infinity).

引用

页码：1023 / 1030

页数：8

共 13 条

[1]

ALLAN GR, 1967, J LONDON MATH SOC, V42, P463

[2] BOUNDED HOLOMORPHIC FUNCTIONS AND PROJECTIONS [J].