Cline’s formula for g-Drazin inverses in a ring

DOI10.2298/FIL1908249COpenAlexW3005348028MaRDI QIDQ5080842

Marjan Sheibani Abdolyousefi, Huanyin Chen

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1908249c

zbMATH Keywords

Banach algebraDrazin inversespectral propertygeneralized Drazin inverse

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Generalized inverses (associative rings and algebras) (16U90)

Related Items (3)

Weighted G-Outer Inverse of Banach Spaces Operators ⋮ Jacobson's lemma for the generalized \(n\)-strong Drazin inverses in rings and in operator algebras ⋮ Generalized Jacobson’s Lemma in a Banach algebra

Cites Work

• Common properties of the operator products in local spectral theory
• New extensions of Jacobson's lemma and Cline's formula
• Common properties of bounded linear operators \(AC\) and \(BA\): local spectral theory
• New results on common properties of the products \(AC\) and \(BA\)
• Cline's formula for the generalized Drazin inverse
• Local spectral theory of linear operators RS and SR
• Common properties of the operator products in spectral theory
• Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
• An extension of Clines formula for a generalized Drazin inverse
• Further common local spectral properties for bounded linear operators

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