Additive maps preserving Drazin invertible operators of index \(n\)

DOI10.1215/17358787-0000011XzbMath1422.47042MaRDI QIDQ2011941

Mourad Oudghiri, Mostafa Mbekhta, Khalid Souilah

Publication date: 27 July 2017

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1489802494

zbMATH Keywords

Drazin inverselinear preserver problemdescentascent

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)

Related Items (5)

Additive mappings preserving Fredholm operators with fixed nullity or defect ⋮ Continuous surjective maps preserving projections of Jordan products on the space of self-adjoint operators ⋮ Extended \(g\)-Drazin inverse in a Banach algebra ⋮ Nonlinear maps preserving Drazin invertible operators of bounded index ⋮ Maps preserving Drazin invertible operator matrices with non-singular Schur complement

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