Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point

DOI10.1016/J.LAA.2017.10.009OpenAlexW2963756687MaRDI QIDQ1680287

Antonio M. Peralta, Ahlem Ben Ali Essaleh

Publication date: 15 November 2017

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

Full work available at URL: https://arxiv.org/abs/1706.08326

zbMATH Keywords

derivationsgeneralised derivationorthogonality preserverderivable mapping at a pointtriple derivation at a pointtriple derivationstriple homomorphism at a point

Mathematics Subject Classification ID

Automatic continuity (46H40) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05)

Related Items (10)

Characterizing linear mappings through zero products or zero Jordan products ⋮ Conjugate linear maps from \(C^*\)-algebras into their dual spaces which are ternary derivable at the unit element ⋮ Triple derivable maps on prime algebras with involution ⋮ Linear maps which are anti-derivable at zero ⋮ Linear maps on \(C^\star\)-algebras behaving like (anti-)derivations at orthogonal elements ⋮ Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero ⋮ Unnamed Item ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs ⋮ Characterizations of \(\ast\)-antiderivable mappings on operator algebras ⋮ A characterization of additive derivations on $C^*$-algebras

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