On S-spectrum related to a regularity

IF 1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2026-10-09 DOI:10.1007/s00006-026-01465-3

Rachid Arzini, Ali Jaatit

引用次数: 0

Abstract

Let \( \mathcal {L}(X) \) denote the algebra of bounded right linear operators on a two-sided quaternionic Banach space \( X \). In this paper, we introduce the concept of regularity in \(\mathcal {L}(X)\) extending that given by [13, 14]. We also establish the spectral mapping theorem for the spherical spectrum defined by a regularity. Furthermore, certain common spectral properties of operator products are examined.

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关于s谱的正则性

设\( \mathcal {L}(X) \)表示两侧四元数Banach空间\( X \)上有界右线性算子的代数。本文将[13,14]给出的正则性概念推广到\(\mathcal {L}(X)\)中，引入正则性概念。我们还建立了由正则性定义的球谱的谱映射定理。进一步研究了算子积的一些常见的谱性质。

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.