Generalized domination of ergodic elements in ordered Banach algebras

被引：1
|
作者：
Mouton, S. [1 ]
Rabearivony, A. D. [1 ]
机构：
[1] Stellenbosch Univ, Dept Math Sci, Private Bag X1, ZA-7602 Matieland, South Africa
来源：
QUAESTIONES MATHEMATICAE | 2024年 / 47卷
基金：
新加坡国家研究基金会;
关键词：
Ordered Banach algebra; ergodic element; spectrum; regular operator; SPECTRAL THEORY; OPERATORS;
D O I：
10.2989/16073606.2023.2287851
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be an ordered Banach algebra and a, b is an element of A such that 0 <= a <= b. The domination problem involves finding natural conditions under which properties of b will be inherited by a. In [12] this problem was investigated for ergodic elements, where a is an element of A is ergodic if the sequence converges in A. In this paper we consider the more general problem where the assumption 0 <= a <= b is replaced by the weaker condition +/- a <= b.
引用
收藏
页码：305 / 317
页数：13
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