Quasi-linear functionals determined by weak-2-local ^*-derivations on B(H)

2015/05/04 by Mohsen Niazi, Niazi, Mohsen, Antonio M. Peralta +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA

paper · pdf · doi:10.48550/arxiv.1505.00770

arxiv created 2015/05/04 · openalex publication_date 2015/05/04 · arxiv updated 2015/05/05 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We prove that, for every separable complex Hilbert space H, every weak-2-local ^*-derivation on B(H) is a linear ^*-derivation. We also establish that every (non-necessarily linear nor continuous) weak-2-local derivation on a finite dimensional C^*-algebra is a linear derivation.

Related

• Weak 2-local derivations on \mathbbM_n
• Stability of derivations under weak-2-local continuous perturbations
• Inner derivations and weak-2-local derivations on the C^*-algebra C₀(L,A)
• 2-Local derivations and automorphisms on B(H)
• Weak-local derivations and homomorphisms on C*-algebras