A note on strong \(\eta \)-Lie products preserving maps on some algebras

DOI10.1007/S00009-016-0824-3zbMath1369.46043OpenAlexW2565199891MaRDI QIDQ523660

Hamid Rohi, Farzaneh Kolivand, Ali Taghavi

Publication date: 21 April 2017

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

Full work available at URL: https://doi.org/10.1007/s00009-016-0824-3

zbMATH Keywords

\(C^{*}\)-algebraspreserving problemsskew product maps

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48)

Related Items (6)

Lie product and local spectrum preservers ⋮ Maps preserving a certain product of operators ⋮ Maps preserving strong 2-Jordan product on some algebras ⋮ A note on strong (skew) η-Lie products preserving maps on some algebras ⋮ Maps preserving the square zero of η-Lie product of operators ⋮ Maps preserving strong products

Cites Work

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• A note on strong skew Jordan product preserving maps on von Neumann algebras
• A condition for a subspace of \({\mathcal B} (H)\) to be an ideal
• Maps preserving strong skew Lie product on factor von Neumann algebras
• Additivity of maps preserving Jordan \(\eta_{*}\)-products on \(C^{*}\)-algebras
• On maps preserving zeros of the polynomial \(xy - yx^\ast\)
• Non-linear *-Jordan derivations on von Neumann algebras
• Additivity of maps preserving productsAP±PA^*onC^*-algebras
• On Jordan *-derivations and an application
• Linear maps preserving elements annihilated by the polynomial XY-YX^†

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