Linear mappings characterized by action on zero products or unit products

DOI10.1007/s41980-020-00499-yOpenAlexW3153732105MaRDI QIDQ2119259

Jiankui Li, Shan Li

Publication date: 29 March 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00499-y

zbMATH Keywords

derivationJordan derivationzero productunit product

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Characterizing linear maps of standard operator algebras through orthogonality ⋮ Unnamed Item

Cites Work

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• Additive maps on rings behaving like derivations at idempotent-product elements.
• Linear maps on standard operator algebras characterized by action on zero products
• Generalized derivations on unital algebras determined by action on zero products.
• Characterizations of linear mappings through zero products or zero Jordan products
• Characterizations of Jordan derivations and Jordan homomorphisms
• Mappings on some reflexive algebras characterized by action on zero products or Jordan zero products
• On mappings preserving zero products
• Multiplication algebra and maps determined by zero products
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

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