On a generalized Šemrl's theorem for weak 2-local derivations on \(B(H)\)

DOI10.1215/17358787-0000009XzbMath1372.46051arXiv1511.07987MaRDI QIDQ516291

Juan Carlos Cabello, Antonio M. Peralta

Publication date: 14 March 2017

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07987

zbMATH Keywords

derivation2-local derivation2-local symmetric map2-local \(^{*}\)-derivationweak 2-local derivation

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (15)

Two-local isometries on vector-valued differentiable functions ⋮ Weak\(^*\)-2-local derivations on semi-finite von Neumann algebras ⋮ 2-bilocal derivations ⋮ 2-local uniform isometries between complex Lipschitz algebras ⋮ 2-local derivations on some \( C^* \)-algebras ⋮ Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\) ⋮ 2-local standard isometries on vector-valued Lipschitz function spaces ⋮ 2-local Lie derivations of nest subalgebras of factors ⋮ Stability of derivations under weak-2-local continuous perturbations ⋮ 2-local derivations on associative and Jordan matrix rings over commutative rings ⋮ 2-local Lie *-automorphisms on factors ⋮ 2-local isometries between Banach algebras of continuous functions with involution ⋮ The structure of 2-local Lie derivations on von Neumann algebras ⋮ Generalized 2-local isometries of spaces of continuously differentiable functions ⋮ Bilocal Lie derivations on factor von Neumann algebras

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