Some simple proofs in holomorphic spectral theory

被引：0
|
作者：
Allan, Graham R. [1 ]
机构：
[1] Univ Cambridge, Dept Pure Math & Math Stat, Ctr Math Sci, Cambridge CB3 0WB, England
来源：
PERSPECTIVES IN OPERATOR THEORY | 2007年 / 75卷
关键词：
D O I：
10.4064/bc75-0-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.
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页码：9 / 15
页数：7
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