Maps preserving Drazin invertible operator matrices with non-singular Schur complement

DOI10.1007/s00009-022-01992-wOpenAlexW4213257041MaRDI QIDQ2113580

Fereshteh Sady, Hossein Khodaiemehr

Publication date: 14 March 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-01992-w

zbMATH Keywords

Schur complementpreserver problemDrazin invertible operator

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49) Operator matrices (47A08)

Cites Work

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• Representations for the Drazin inverse of \(2\times 2\) block-operator matrix with singular Schur complement
• Maps completely preserving commutativity and maps completely preserving Jordan zero-product
• Nonlinear maps preserving similarity on \(\mathcal B(H)\)
• Maps completely preserving idempotents and maps completely preserving square-zero operators
• Additive Drazin inverse preservers
• A primer on spectral theory
• Additive mappings decreasing rank one
• Additive preservers of Drazin invertible operators with bounded index
• Additive maps preserving Drazin invertible operators of index \(n\)
• Characterizing isomorphisms in terms of completely preserving invertibility or spectrum
• Additive Maps Preserving Drazin Invertible Operators of Index One
• On the Generalized Drazin Inverse and Generalized Resolvent
• A HUA TYPE THEOREM AND LINEAR PRESERVER PROBLEMS
• Completely square-zero preserving maps on
• Additive preservers of the ascent, descent and related subsets
• Nonlinear maps preserving Drazin invertible operators of bounded index

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