Additivity of Jordan maps on triangular algebras

DOI10.1080/03081087.2011.634413zbMath1254.16033OpenAlexW2020821744MaRDI QIDQ5200329

Yiqiu Du, Yu Wang

Publication date: 5 November 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.634413

zbMATH Keywords

triangular matrix algebrastriangular algebrasfaithful ringsadditive Jordan maps

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Nonassociative selfadjoint operator algebras (46L70) Nest algebras, CSL algebras (47L35)

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Some generalizations of \(\ast\)-Lie derivable mappings and their characterization on standard operator algebras

Cites Work

• Jordan mappings of semiprime rings
• Additivity of multiplicative maps on triangular rings.
• Biderivations of triangular algebras.
• Jordan derivations of triangular algebras
• Jordan maps on triangular algebras.
• Additivity of Jordan maps on Jordan algebras
• Jordan maps of nest algebras
• Commuting traces and commutativity preserving maps on triangular algebras.
• Additivity of Jordan maps on standard operator algebras
• Additivity of Lie multiplicative maps on triangular algebras
• Jordan generalized derivations on triangular algebras
• Commuting Maps of Triangular Algebras
• The Additivity of Multiplicative Maps on Rings
• Generalized Jordan derivations on triangular matrix algebras
• Additive maps preserving rank-one operators on nest algebras
• Lie Derivations of Triangular Algebras
• Jordan Maps on Associative Algebras
• Some linear preserver problems on upper triangular matrices
• Jordan homomorphisms on triangular matrices