Continuous surjective maps preserving projections of Jordan products on the space of self-adjoint operators

DOI10.1007/s43034-019-00015-2OpenAlexW3005699830MaRDI QIDQ2287452

Cong Yu, Guo Xing Ji

Publication date: 20 January 2020

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-019-00015-2

zbMATH Keywords

projectionself-adjoint operatorJordan productcontinuous surjective map

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

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• On certain projections of \(C^\ast\)-matrix algebras
• Maps preserving the spectrum of generalized Jordan product of operators
• Linear transformations that preserve the nilpotent matrices
• On linear maps preserving certain pseudospectrum and condition spectrum subsets
• Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces
• Additive maps preserving Drazin invertible operators of index \(n\)
• Maps preserving operator pairs whose products are projections