The Drazin and generalized Drazin invertibility of linear combinations of idempotents
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Publication:2320063
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
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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