The commutator ideal in Toeplitz algebras for uniform algebras and the analytic structure

被引：0
|
作者：
Nakazi, T [1 ]
Sawada, H [1 ]
机构：
[1] DEPT MATH,KYOTO 606,JAPAN
来源：
ARCHIV DER MATHEMATIK | 1997年 / 69卷 / 03期
关键词：
Analytic Structure; Hardy Space; Compact Operator; Ideal Space; Uniform Algebra;
D O I：
10.1007/s000130050113
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a uniform algebra and H-2 the abstract Hardy space defined by A. Under certain conditions on A, we show that its maximal ideal space has some analytic structure. An essential hypothesis is that the commutator ideal of a certain Toeplitz algebra on H-2 is just the set of all compact operators on H-2.
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页码：221 / 226
页数：6
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