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.

引用

页码：419 / 427

页数：9

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