On mappings preserving zero products

DOI10.1080/03081087.2012.678344zbMath1281.15029OpenAlexW2058856343MaRDI QIDQ4908209

Juana Sánchez-Ortega, María J. Burgos

Publication date: 4 March 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.678344

zbMATH Keywords

Banach algebraessential idealsoclecentral elementJordan isomorphismzero product preserverJordan zero product preserver

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Linear transformations, semilinear transformations (15A04) Jordan structures on Banach spaces and algebras (17C65) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items (13)

Linear mappings characterized by action on zero products or unit products ⋮ Characterizing linear maps of standard operator algebras through orthogonality ⋮ Anti-derivable linear maps at zero on standard operator algebras ⋮ Lie centralizers at zero products on a class of operator algebras ⋮ Bilinear maps on C*-algebras that have product property at a compact element ⋮ One-parameter groups of orthogonality preservers on \(C^*\)-algebras ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ On mappings preserving the sharp and star orders ⋮ Characterizations of Jordan mappings on some rings and algebras through zero products ⋮ Weight-preserving isomorphisms between spaces of continuous functions: the scalar case ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Linear maps on standard operator algebras characterized by action on zero products

Cites Work

• On maps preserving zero Jordan products.
• Biseparating maps between operator algebras.
• Maps characterized by action on zero products.
• Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces
• Jordan zero-product preserving additive maps on operator algebras
• Maps preserving zero products
• Mappings preserving zero products
• Characterizing Jordan maps on C*-algebras through zero products

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