Description of 2-local derivations and automorphisms on finite dimensional Jordan algebras

Autor:	Ayupov, Shavkat, Arzikulov, Farhodjon, Umrzaqov, Nodirbek, Nuriddinov, Olimjon
Rok vydání:	2019
Předmět:	Mathematics - Rings and Algebras Mathematics - Operator Algebras 47A05 17A36 17C65 47B47
Druh dokumentu:	Working Paper
Popis:	In the present paper we introduce and investigate the notion of 2-local linear map on vector spaces. A sufficient condition is obtained for linearity of a 2-local linear map on finite dimensional vector spaces. Based on this result we prove that every 2-local derivation on a finite dimensional formally real Jordan algebra is a derivation. Also we show that every 2-local 1-automorphism (i.e. implemented by single symmetries) of mentioned Jordan algebras is an automorphism. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.03194 Zobrazit plný text záznamu View this record from Arxiv