Generalized EP elements in Banach *-algebras
-
Huanyin Chen
and
Marjan Sheibani
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.
Acknowledgements
We thank the reviewer for their careful reading and insightful comments, which have significantly improved this manuscript.
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