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arXiv · 1111.2928

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

Sh. A. Ayupov·K. K. Kudaybergenov
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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.

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Sh. A. Ayupov, K. K. Kudaybergenov. 2011-11-12. 2-Local derivations and automorphisms on $B(H)$. https://arxiv.org/abs/1111.2928

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