Jordan all-derivable points in the algebra of all upper triangular matrices

DOI10.1016/j.laa.2010.07.006zbMath1204.47094OpenAlexW4249180194MaRDI QIDQ603124

Jun Zhu, Sha Zhao

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.006

zbMATH Keywords

nest algebraJordan all-derivable pointJordan derivable linear mapping at \(G\)

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Nest algebras, CSL algebras (47L35)

Related Items (12)

CHARACTERIZATIONS OF JORDAN DERIVATIONS ON STRONGLY DOUBLE TRIANGLE SUBSPACE LATTICE ALGEBRAS ⋮ Zero product determined triangular algebras ⋮ Characterizations of additive (generalized) ξ-Lie (α, β) derivations on triangular algebras ⋮ Jordan and Jordan higher all-derivable points of some algebras ⋮ Linear maps on matrix algebra Jordan derivable at involutory matrices ⋮ Jordan higher all-derivable points in triangular algebras ⋮ Characterizations of Lie higher derivations on triangular algebras ⋮ Derivations on FCIN algebras ⋮ On \((m,n)\)-derivations of some algebras ⋮ Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras ⋮ Jordan higher derivable maps on triangular algebras by commutative zero products

Cites Work

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• Local derivations on certain CSL algebras
• All-derivable points in the algebra of all upper triangular matrices
• Characterizations of derivations on triangular rings: additive maps derivable at idempotents
• Nest algebras and similarity transformations
• Generalized derivable mappings at zero point on some reflexive operator algebras
• Local derivations
• All-derivable points of operator algebras
• Characterization of generalized Jordan \(\ast\)-left derivations on real nest algebras
• Additivity of Jordan multiplicative maps on Jordan operator algebras
• Local multiplications on algebras spanned by idempotents
• Local Derivation of Nest Algebras
• Bilocal derivations of standard operator algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Characterisations of derivations on some operator algebras
• Operators of Finite Rank in Nest Algebras

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