BANACH ALGEBRA BUNDLES

被引：6
作者：
GELBAUM, BR
机构：
[1] University Of California, Irvine
来源：
PACIFIC JOURNAL OF MATHEMATICS | 1969年 / 28卷 / 02期
关键词：
D O I：
10.2140/pjm.1969.28.337
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If E is a fibre bundle over a space X with fibre A, a Banach algebra, and group the group of isometric automorphisms of A then the set of sections of the fibre bundle can be endowed with the structure of a Banach algebra. If the fibre A is a so-called Q-uniform Banach algebra (e.g., a commutative Banach algebra) then the maximal ideal space of the Banach algebra of sections can be identified as a fibre bundle with base Xy fibre the set of maximal ideals of the Banach algebra A and group the group of self-homeomorphisms of the space of maximal ideals of A. Similar results are obtained for certain epimorphism structures associated with the algebras described. © 1969 by Pacific Journal of Mathematics.
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页码：337 / &
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