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

Source: [2-Local derivations and automorphisms on $B(H)$](<https://www.sota2.com/research/paper/68fa4f6d1e209131ce963638>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:18:44.522Z

Authors: Sh. A. Ayupov, K. K. Kudaybergenov

Published: 2011-11-12T13:59:24.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1111.2928>)

[PDF](<https://arxiv.org/pdf/1111.2928.pdf>)