Nonlinear maps preserving semi-Fredholm operators with bounded nullity

DOI10.2989/16073606.2022.2073572WikidataQ114039685 ScholiaQ114039685MaRDI QIDQ6109328

Xia Jiao, Weijuan Shi, Guo Xing Ji

Publication date: 27 July 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

nullitysemi-Fredholm operatorpreserver

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Linear operators on Banach algebras (47B48) Linear preserver problems (15A86)

Cites Work

• Linear maps between operator algebras preserving certain spectral functions
• Nonlinear maps preserving the minimum and surjectivity moduli
• Maps preserving semi-Fredholm operators on Hilbert \(C^*\)-modules
• Linear transformations which preserve fixed rank
• Additive maps on standard operator algebras preserving invertibilities or zero divisors.
• Characterizing isomorphisms in terms of completely preserving invertibility or spectrum
• Additive mappings preserving operators of rank one
• On additive maps preserving certain semi-Fredholm subsets
• Nonlinear mappings preserving at least one eigenvalue
• Adjacency preserving maps on matrices and operators
• Additive maps preserving semi-Fredholm operators with bounded ascent on $\mathcal B(\mathcal X)$
• Nonlinear maps preserving Drazin invertible operators of bounded index
• Nonlinear maps commuting with the λ-Aluthge transform under (n,m)–Jordan-triple product
• From geometry to invertibility preservers
• Maps preserving operator pairs whose products are projections

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