Work

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

Year: 2011

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1111.2928

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

Institutions: The Abdus Salam International Centre for Theoretical Physics (ICTP), Academy of Sciences Republic of Uzbekistan, Karakalpak State University

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutscher Akademischer Austauschdienst, Deutsche Forschungsgemeinschaft, Rheinische Friedrich-Wilhelms-Universität Bonn

OpenAlex ID: W2952449470

Cites: 11

Cited by: 10

Related to: 10