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

Abstract

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

5 pages

References in corpus (1)

• Local and 2-Local derivations on noncommutative Arens algebras

Cited by in corpus (4)

• $2$-Local derivations on von Neumann algebras
• 2-local derivations on semi-finite von Neumann algebras
• Local Derivations on Jordan Triples
• 2-Local derivations on matrix algebras over commutative regular algebras