Препринт

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

Sh. A. AyupovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Dormon yoli 29, 100125 Tashkent, UzbekistanKarimbergen KudaybergenovDepartment of Mathematics, Karakalpak State University, Ch. Abdirov 1, 230113, Nukus, Uzbekistan

arXiv (Cornell University)repository2011en

ABI

Аннотация

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.

Мавзулар

Advanced Topics in Algebra Advanced Operator Algebra Research Algebraic structures and combinatorial models

Идентификаторлар

DOI: 10.48550/arxiv.1111.2928

Иқтибослар ва манбалар

5 та иқтибос 11 та фойдаланилган манба

Кўрсаткичлар — AkademScholar · Тез орада