The Drazin and generalized Drazin invertibility of linear combinations of idempotents

DOI10.1016/j.jmaa.2019.06.008zbMath1493.47001OpenAlexW2952177717WikidataQ127742964 ScholiaQ127742964MaRDI QIDQ2320063

Mohamed Barraa, El Hassan Benabdi

Publication date: 21 August 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.06.008

zbMATH Keywords

Banach algebraidempotentDrazin indexDrazin invertibility

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Banach spaces (47B01)

Related Items (2)

Left and right-Drazin inverses in rings and operator algebras ⋮ On the spectra of products and linear combinations of idempotents

Cites Work

• The Drazin inverse of the linear combinations of two idempotents in the Banach algebra
• Invertibility of a linear combination of two matrices and partial orderings
• Generalized Drazin invertibility of combinations of idempotents
• Properties of the combinations of commutative idempotents
• Characterizations and representations of the Drazin inverse involving idempotents
• The Drazin inverses of sum and difference of idempotents
• The generalized Drazin inverse with commutativity up to a factor in a Banach algebra
• A note on Drazin inverses
• On the Drazin inverse of the linear combinations of two idempotents in a complex Banach algebra
• The Drazin inverses of products and differences of orthogonal projections
• The Drazin invertibility of the difference and the sum of two idempotent operators
• Stability theorems for some combinations of two idempotents
• Pseudo-Inverses in Associative Rings and Semigroups
• On Drazin invertibility
• A generalized Drazin inverse

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