Additive Preservers of Invertibility or Zero Divisors in Quaternionic Setting

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2025-04-22 DOI:10.1007/s00006-025-01383-w

El Miloud Ouahabi, Khalid Souilah

引用次数: 0

Abstract

This paper completely describes the form of all unital additive surjective maps, on the algebra of all bounded right linear operators acting on a two-sided quaternionic Banach space, that preserve any one of (left, right) invertibility, (left, right) zero divisors and (left, right) topological divisors of zero in both directions.

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四元数集合中可逆性或零除数的加性保持子

本文完整地描述了作用于双边四元数Banach空间的所有有界右线性算子的代数上，在两个方向上保持（左，右）可逆性、（左，右）零因子和（左，右）零拓扑因子中的任意一个的所有一元加性满射映射的形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.