ON THE STABLE RANK OF H-INFINITY

被引：0

作者：

HOLDEN, PJ

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 01期

关键词：

D O I：

10.2307/2159785

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if f1, f2 are corona data and f1 is the product of finitely many interpolating Blaschke products, then there exist corona solutions g1, g2 with g1(-1) epsilon H infinity (D). This provides a partial result in the direction of proving the stable rank of the algebra of bounded analytic functions on the open unit disc is one.

引用

页码：79 / 88

页数：10

共 50 条

[1] STABLE RANK AND APPROXIMATION THEOREMS IN H-INFINITY
LAROCO, LA
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 327 (02) : 815 - 832
[2] STABLE RANK OF H-INFINITY IN MULTIPLY CONNECTED DOMAINS
TOLOKONNIKOV, V
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (10) : 3151 - 3156
[3] Trivial Gleason parts and the topological stable rank of H-infinity
Suarez, D
AMERICAN JOURNAL OF MATHEMATICS, 1996, 118 (04) : 879 - 904
[4] H-INFINITY(D) IS STABLE
JAROSZ, K
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1988, 37 : 490 - 498
[5] STABLE SUBALGEBRAS OF H-INFINITY
DAWSON, DW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (01): : A98 - A98
[6] AN EXAMPLE OF A SUBALGEBRA OF H-INFINITY ON THE UNIT DISK WHOSE STABLE RANK IS NOT FINITE
MORTINI, R
STUDIA MATHEMATICA, 1992, 103 (03) : 275 - 281
[7] Rank-one scaled H-infinity
Iwasaki, T
Rotea, MA
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1997, 119 (03): : 513 - 520
[8] On stable H-infinity controller design
Zeren, M
Ozbay, H
PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 1302 - 1306
[9] ON THE STABLE RANGE OF UNIFORM ALGEBRAS AND H-INFINITY
CORACH, G
SUAREZ, FD
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 98 (04) : 607 - 610
[10] Design of H-infinity optimal stable stabilizing compensator
Barabanov, AE
PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 734 - 738

← 1 2 3 4 5 →