Gleason Parts and Weakly Compact Homomorphismsbetween Uniform Banach Algebras

被引：0
|
作者：
Pablo Galindo
Mikael Lindström
机构：
[1]  Universidad de Valencia,
[2] Spain,undefined
[3]  Åbo Akademi University,undefined
[4] Finland,undefined
来源：
Monatshefte für Mathematik | 1999年 / 128卷
关键词：
1991 Mathematics Subject Classification: 46J15; 46E15; 46G20; Key words: Analytic function; uniform Banach algebra; weakly compact homomorphism; Gleason part;
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学科分类号：
摘要：
 If points in nontrivial Gleason parts of a uniform Banach algebra have unique representing measures, then the weak and the norm topology coincide on the spectrum. We derive from this several consequences about weakly compact homomorphisms and discuss the case of other uniform Banach algebras arising in complex infinite dimensional analysis.
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页码：89 / 97
页数：8
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