On derivations and Jordan derivations through zero products
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Publication:2931313
DOI10.7153/oam-08-42zbMath1325.47008arXiv1312.6952OpenAlexW2963992471MaRDI QIDQ2931313
Publication date: 25 November 2014
Published in: Operators and Matrices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.6952
Commutators, derivations, elementary operators, etc. (47B47) Forms (bilinear, sesquilinear, multilinear) (47A07) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)
Related Items (17)
Characterizing linear maps of standard operator algebras through orthogonality ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Anti-derivable linear maps at zero on standard operator algebras ⋮ Characterizing centralizer maps and Jordan centralizer maps through zero products. Characterizing centralizer maps and Jordan\dots ⋮ Characterization of \(n\)-Jordan multipliers through zero products ⋮ Linear maps on *-algebras acting on orthogonal elements like derivations or anti-derivations ⋮ Unnamed Item ⋮ Characterizations of Jordan mappings on some rings and algebras through zero products ⋮ Characterizations of linear mappings through zero products or zero Jordan products ⋮ Ternary derivations of nest algebras ⋮ Characterization of linear mappings on (Banach) \(\star\)-algebras by similar properties to derivations ⋮ Linear maps on block upper triangular matrix algebras behaving like Jordan derivations through commutative zero products ⋮ Characterizations of \({*}\) and \({*}\)-left derivable mappings on some algebras ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras ⋮ Linear maps on standard operator algebras characterized by action on zero products ⋮ Zero Jordan product determined algebras ⋮ Functional identities of degree 2 vanishing on zero products of XY and Y X
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