Year: 2025
Type: article
Abstract: We introduce a new generalized inverse, termed the generalized EP element, which naturally extends the concepts of EP and *-DMP elements within the framework of Banach *-algebras. We provide polar-like characterizations for these generalized EP elements and investigate conditions ensuring their additive closure. Finally, we characterize the generalized core-EP orders associated with these elements.
Source: Georgian Mathematical Journal
Authors: Huanyin Chen, Marjan Sheibani
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416919022