Factorization in ordered Banach algebras

被引：0

作者：

Foerster, Karl-Heinz ^{[1
]}

Kallus, Paul ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, MA 6-4, D-10623 Berlin, Germany

来源：

POSITIVITY | 2017年 / 21卷 / 02期

关键词：

Ordered Banach algebras; Decomposing Banach algebras; Factorization; Wiener algebra; Regular operators;

D O I：

10.1007/s11117-016-0452-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present multiplicative factorizations of positive elements in decomposing ordered Banach algebras. In order to apply strong factorization results to the Wiener algebra, we introduce the concept of semi-strongly decomposing algebras. Several applications are considered; including factorizations of M-matrices, regular operators and Laurent polynomials.

引用

页码：711 / 738

页数：28

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