The Drazin inverse of the linear combinations of two idempotents in the Banach algebras
Zhang Shifang, Wu Junde
TL;DR
This paper investigates the Drazin inverse representations of linear combinations of two idempotents within Banach algebras, providing new formulas and insights into their algebraic structure.
Contribution
It introduces novel Drazin inverse representations for linear combinations of two idempotents in Banach algebras, expanding the theoretical understanding of their algebraic properties.
Findings
Derived explicit Drazin inverse formulas for combinations of two idempotents
Extended existing theories on inverses in Banach algebras
Provided new algebraic identities involving idempotents
Abstract
In this paper, some Drazin inverse representations of the linear combinations of two idempotents in Banach algebra are obtained.
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Taxonomy
TopicsMatrix Theory and Algorithms · Algebraic and Geometric Analysis · Advanced Topics in Algebra