Weak-2-local \({}^{\ast}\)-derivations on \(B(H)\) are linear \({}^{\ast}\)-derivations

DOI10.1016/j.laa.2015.09.028zbMath1348.47029arXiv1505.00770OpenAlexW1840316232MaRDI QIDQ890570

Antonio M. Peralta, Mohsen Niazi

Publication date: 10 November 2015

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

Full work available at URL: https://arxiv.org/abs/1505.00770

zbMATH Keywords

finite dimensional \(C^{\ast}\)-algebrasweak-2-local \({}^{\ast}\)-derivationsweak-2-local derivations

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear preserver problems (15A86)

Related Items

Weak\(^*\)-2-local derivations on semi-finite von Neumann algebras, 2-local automorphisms on finite-dimensional Lie algebras, 2-local \(*\)-Lie isomorphisms of operator algebras, 2-bilocal derivations, Weak-2-local derivations on finite von Neumann algebras, Inner derivations and weak-2-local derivations on the \(\mathrm {C}^*\)-algebra \(C_0(L,A)\), Weak-2-local \({}^{\ast}\)-derivations on \(B(H)\) are linear \({}^{\ast}\)-derivations, 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, Dual space valued mappings on \(\mathrm{C}^{\ast}\)-algebras which are ternary derivable at zero, 2-local derivations on associative and Jordan matrix rings over commutative rings, A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS, 2-Local Lie derivations on semi-finite factor von Neumann algebras, 2-local Lie *-automorphisms on factors, Derivations and 2-local derivations on matrix algebras and algebras of locally measurable operators, Generalized 2-local isometries of spaces of continuously differentiable functions, Weak-2-local symmetric maps on \(C^\ast\)-algebras

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