HOMOMORPHISMS ON A CLASS OF COMMUTATIVE BANACH ALGEBRAS

被引：7

作者：

Botelho, Fernanda ^{[1
]}

Jamison, James ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2013年 / 43卷 / 02期

关键词：

Banach algebras of Lipschitz functions; algebra homomorphisms; algebra isomorphisms; sequence valued Lipschitz function spaces;

D O I：

10.1216/RMJ-2013-43-2-395

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive representations for homomorphisms and isomorphisms between Banach algebras of Lipschitz functions with values in a sequence space, including l(infinity). We show that such homomorphisms are automatically continuous and preserve the * operation. We also give necessary conditions for the compactness of homomorphisms in these settings and give characterizations for the isometric isomorphisms.

引用

页码：395 / 416

页数：22

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