English

2-Local derivations and automorphisms on $B(H)$

Operator Algebras 2011-11-15 v1

Abstract

The paper is devoted to 2-local derivations and 2-local automorphisms on the algebra B(H)B(H) of all bounded linear operators on a Hilbert space H.H. We prove that every 2-local derivation on B(H)B(H) is a derivation. A similar result is obtained for automorphisms.

Keywords

Cite

@article{arxiv.1111.2928,
  title  = {2-Local derivations and automorphisms on $B(H)$},
  author = {Sh. A. Ayupov and K. K. Kudaybergenov},
  journal= {arXiv preprint arXiv:1111.2928},
  year   = {2011}
}

Comments

5 pages

R2 v1 2026-06-21T19:35:07.798Z