2-local Lie isomorphisms of operator algebras on Banach spaces

Chen, Lin; Huang, Lizhong; Lu, Fangyan

doi:10.4064/sm7864-12-2015

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Cited by 9 publications

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“…Results on 2-local derivations on finite dimensional Lie algebras were obtained in [6], [16]. Articles [10], [22], [23] are devoted to weak-2-local derivations, and [11], [17], [18], [21] are devoted to 2-local * -Lie isomorphisms and 2-local Lie isomorphisms. A number of theorem on 2-local triple derivations were proved in [13], [15].…”

Section: Introductionmentioning

confidence: 99%

2-Local derivations on associative and Jordan matrix rings over commutative rings

Ayupov

Arzikulov

2017

Linear Algebra and its Applications

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Abstract. In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring We also develop a Jordan analog of the above method and prove that every 2-local inner derivation on the Jordan matrix ring over a commutative ring is a derivation.

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