On the Drazin inverse of the linear combinations of two idempotents in a complex Banach algebra

DOI10.1016/j.laa.2013.09.031zbMath1292.46032OpenAlexW2091388654MaRDI QIDQ2435555

Yunfeng Shi, Guo Lin Hou

Publication date: 19 February 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.09.031

zbMATH Keywords

Banach algebraidempotentDrazin inverselinear combinationsDrazin index

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General theory of topological algebras (46H05)

Related Items (4)

Drazin and group invertibility in algebras spanned by two idempotents ⋮ A hyperpower iterative method for computing the generalized Drazin inverse of Banach algebra element ⋮ Drazin Invertibility in a Certain Finite-Dimensional Algebra Generated by Two Idempotents ⋮ The Drazin and generalized Drazin invertibility of linear combinations of idempotents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Drazin inverse of the linear combinations of two idempotents in the Banach algebra
• Generalized Drazin invertibility of combinations of idempotents
• On certain finite-dimensional algebras generated by two idempotents
• Some results on the Drazin invertibility and idempotents
• Characterizations and representations of the Drazin inverse involving idempotents
• On Jacobson's lemma and Drazin invertibility.
• The Drazin inverses of sum and difference of idempotents
• Pseudo-Inverses in Associative Rings and Semigroups
• GENERALIZED INVERSES OF A SUM IN RINGS
• A generalized Drazin inverse

This page was built for publication: On the Drazin inverse of the linear combinations of two idempotents in a complex Banach algebra