Applications of the scarcity theorem in ordered Banach algebras

被引：2
|
作者：
Mouton, Sonja [1 ]
机构：
[1] Univ Stellenbosch, Dept Math Sci, ZA-7602 Matieland, South Africa
来源：
STUDIA MATHEMATICA | 2014年 / 225卷 / 03期
关键词：
ordered Banach algebra; positive element; spectrum; scarcity theorem; RANK-ONE; ELEMENTS; SPECTRUM;
D O I：
10.4064/sm225-3-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We apply Aupetit's scarcity theorem to obtain stronger versions of many spectral-theoretical results in ordered Banach algebras in which the algebra cone has generating properties.
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页码：219 / 234
页数：16
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