On centralizing additive maps on rank one triangular matrices over division rings
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Publication:6086421
DOI10.1007/s43036-023-00298-2OpenAlexW4387422266MaRDI QIDQ6086421
Yean-Nee Tan, Wai-Leong Chooi, L. Y. Tan
Publication date: 12 December 2023
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-023-00298-2
Equations involving linear operators, with operator unknowns (47A62) Vector spaces, linear dependence, rank, lineability (15A03) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86) Functional identities (associative rings and algebras) (16R60)
Cites Work
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- Commuting maps on some subsets of matrices that are not closed under addition
- Centralizing mappings of operator algebras
- Linear preserver problems: A brief introduction and some special techniques
- On generalized functional identities on prime rings
- Centralizing maps in prime rings with involution
- Derivations and centralizing mappings in prime rings
- Commuting maps: a survey.
- On generalized biderivations and related maps
- Commuting maps on rank-\(k\) matrices
- Commuting maps on rank one triangular matrices
- Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\)
- Centralizing mappings and derivations in prime rings
- Centralizing maps on invertible or singular matrices over division rings.
- Linear Preserver Problems
- Weakly commuting maps on the set of rank-1 matrices
- Commuting Maps of Triangular Algebras
- Nonadditive strong commutativity preserving maps on rank-k matrices over division rings
- Derivations in Prime Rings
- Centralizing Mappings of Prime Rings
- Centralizing additive maps on rank r block triangular matrices
- Ideals and Centralizing Mappings in Prime Rings
- Centralizing Automorphisms of Prime Rings
- AN APPLICATION OF LOCAL MULTIPLIERS TO CENTRALIZING MAPPINGS OF C*-ALGEBRAS
- Linear identities and commuting maps in rings with involution
- On functional identities and commuting additive mappings
- Commuting maps on rank-1 matrices over noncommutative division rings
- Centralizing Mappings of Semiprime Rings
- Commuting maps on lie ideals
- Commuting maps on rank k triangular matrices
- Commuting maps on rank-k matrices
- Functional identities on upper triangular matrix algebras
- Strong commutativity preserving additive maps on rank k triangular matrices
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