Local triple derivations on C∗-algebras and JB∗-triples

DOI10.1112/blms/bdu024zbMath1312.47050arXiv1303.4569OpenAlexW2115575679MaRDI QIDQ5495341

Antonio M. Peralta, María J. Burgos, Francisco J. Fernández-Polo

Publication date: 4 August 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4569

Mathematics Subject Classification ID

(C^*)-modules (46L08) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items

2-local automorphisms on finite-dimensional Lie algebras, Local triple derivations on real \(C^*\)-algebras and \(JB^*\)-triples, A survey on local and 2-local derivations on C*- and von Neuman algebras, Linear maps on \(\mathrm{C}^\ast\)-algebras which are derivations or triple derivations at a point, 2-local triple derivations on von Neumann algebras, On the strict topology of the multipliers of a \(\mathrm{JB}^\ast\)-algebra, 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, Unnamed Item, Boundedness of completely additive measures with application to 2-local triple derivations, Weak-local derivations and homomorphisms on C*-algebras, Finite dimensional zero product determined algebras are generated by idempotents, 2-local triple homomorphisms on von Neumann algebras and JBW*-triples, Weak-local triple derivations on \(\mathrm{C}^{\ast}\)-algebras and \(\mathrm{JB}^{\ast}\)-triples, A linear preserver problem on maps which are triple derivable at orthogonal pairs, Characterizations of \(\ast\)-antiderivable mappings on operator algebras, Jordan weak amenability and orthogonal forms on \(\mathrm{JB}^*\)-algebras, Weak-2-local symmetric maps on \(C^\ast\)-algebras

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