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

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

2011-11-12

arxiv.org/abs/1111.2928v1

Mathematics

Operator Algebras

5 pages

Scientific paper

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.

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