Left and right-Drazin inverses in rings and operator algebras

Yanxun Ren, Lining Jiang*

*此作品的通讯作者

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摘要

The paper introduces the left and right versions of the large class of Drazin inverses in terms of the left and right annihilators in a ring, which are called left-Drazin and right-Drazin inverses. We characterize some basic properties of these one-sided Drazin inverses, and discuss Jacobson's lemma for them. In addition, the relation between the Drazin inverses and these two one-sided inverses is given by means of the spectrum and the operator decomposition. As an application, the left-Drazin and right-Drazin invertibilities in the Calkin algebra are investigated.

源语言英语
文章编号2450064
期刊Journal of Algebra and its Applications
23
4
DOI
出版状态已出版 - 1 3月 2024

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引用此

Ren, Y., & Jiang, L. (2024). Left and right-Drazin inverses in rings and operator algebras. Journal of Algebra and its Applications, 23(4), 文章 2450064. https://doi.org/10.1142/S0219498824500646