2-Local derivations and automorphisms on B(H)

2011/11/12 by Sh. A. Ayupov, Ayupov, Sh. A., Karimbergen Kudaybergenov +1
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1111.2928

openalex publication_date 2011/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Local and 2-Local derivations on noncommutative Arens algebras

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