Generalized Jacobson's lemma for Drazin inverses and its applications

DOI10.1080/03081087.2018.1498828zbMath1437.16033OpenAlexW2885949544WikidataQ114641445 ScholiaQ114641445MaRDI QIDQ5205781

Kai Yan, QingPing Zeng, Yu-Can Zhu

Publication date: 16 December 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2018.1498828

zbMATH Keywords

ringDrazin inversegeneralized Drazin inverseJacobson's lemmapseudo-Drazin inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Banach algebras of continuous functions, function algebras (46J10) Generalized inverses (associative rings and algebras) (16U90)

Related Items (10)

Jacobson's lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras ⋮ The generalized inverses of the products of two elements in a ring ⋮ Left and right-Drazin inverses in rings and operator algebras ⋮ Generalized Jacobson’s Lemma in a Banach algebra ⋮ On Drazin spectral equation for the operator products ⋮ Further results on common properties of the products ac and bd ⋮ On Jacobson's lemma and Cline's formula for Drazin inverses ⋮ Generalized Cline’s formula and common spectral property ⋮ Extension of generalized strong Drazin inverse ⋮ Linear maps preserving Drazin inverses of matrices over local rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pseudo Drazin inverses in associative rings and Banach algebras
• On the Dunford property \((C)\) for bounded linear operators \(RS\) and \(SR\)
• Jacobson's lemma for the generalized Drazin inverse
• Common properties of the operator products in local spectral theory
• On Jacobson's lemma and Drazin invertibility.
• On the Drazin index of regular elements
• On a class of quasi-Fredholm operators
• Drazin spectra of Banach space operators and Banach algebra elements
• New results on common properties of the products \(AC\) and \(BA\)
• Extensions of Jacobson's lemma for Drazin inverses
• Generalized Browder's theorem and SVEP
• Local spectral theory of linear operators RS and SR
• Common properties of the operator products in spectral theory
• Commuting properties of generalized inverses
• Pseudo-Inverses in Associative Rings and Semigroups
• GENERALIZED INVERSES OF A SUM IN RINGS
• A generalized Drazin inverse
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• Elements of rings with equal spectral idempotents
• The Drazin spectrum in Banach algebras
• Extensions of Jacobson's Lemma
• New extensions of Cline’s formula for generalized inverses

This page was built for publication: Generalized Jacobson's lemma for Drazin inverses and its applications