A NOTE ON IRREDUCIBLE REPRESENTATIONS OF SOME VECTOR-VALUED FUNCTION ALGEBRAS

被引：0
|
作者：
Hoim, Terje [1 ,2 ]
Robbins, D. A. [3 ,4 ]
机构：
[1] Florida Atlantic Univ, Wilkes Honors Coll, Jupiter, FL 33458 USA
[2] Tartu Univ, Tartu, Estonia
[3] Trinity Coll, Dept Math, Hartford, CT 06106 USA
[4] 5012 N Via Velazquez, Tucson, AZ 85750 USA
来源：
ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 02期
关键词：
Irreducible representation; bundle of Banach algebras; cover-strict topology; cover topology; TOPOLOGIES; QUOTIENTS; IDEALS; SPACES;
D O I：
10.15352/aot.1805-1370
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let pi : epsilon -> X be a bundle of Banach algebras, where X is a completely regular Hausdorff space. We identify the sets of irreducible representations of several topological subalgebras of Gamma(pi); the space of continuous sections of pi: The results unify recent and older work of various authors regarding representations on algebra-valued function spaces.
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页码：419 / 427
页数：9
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