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.

引用

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页码：219 / 234

页数：16

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