English

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

Operator Algebras 2017-04-05 v2

Abstract

We prove that, for every complex Hilbert space HH, every weak-2-local derivation on B(H)B(H) or on K(H)K(H) is a linear derivation. We also establish that every weak-2-local derivation on an atomic von Neumann algebra or on a compact C^*-algebra is a linear derivation.

Keywords

Cite

@article{arxiv.1511.07987,
  title  = {On a generalized Semrl's theorem for weak-2-local derivations on B(H)},
  author = {Juan Carlos Cabello and Antonio M. Peralta},
  journal= {arXiv preprint arXiv:1511.07987},
  year   = {2017}
}