Jun He

activity

20162022

most citedCharacterizations of 2-local derivations and local Lie derivations on some algebras

4 citations · 6 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2022

Derivations, local and 2-local derivations of standard operator algebras

Jun He, Haixia Zhao, Guangyu An

Let X be a Banach space over field F (R or C). Denote by B(X) the set of all bounded linear operators on X and by F(X) the set of all finite rank operators on X. A subalgebra A of…

math.OA2019

Characterizing linear mappings through zero products or zero Jordan products

Guangyu An, Jun He, Jiankui Li

Let $A$ be a $*$ -algebra and $M$ be a $*$ - $A$ -bimodule, we study the local properties of $*$ -derivations and $*$ -Jordan derivations from $A$ …

math.OA2018

Characterizations of centralizable mappings on algebras of locally measurable operators

Guangyu An, Jun He, Jiankui Li

A linear mapping $ϕ$ from an algebra $A$ into its bimodule $M$ is called a centralizable mapping at $G \in A$ if $ϕ (A B) = ϕ (A) B = A ϕ (B)$ for each $A$ and $B$ …

math.OA2018★ 1 cited

Local Lie derivations on von Neumann algebras and algebras of locally measurable operators

Jun He, Guangyu An

Let $A$ be a unital associative algebra and $M$ be an $A$ -bimodule. A linear mapping $φ$ from $A$ into an $A$ -bimodule $\mathcal{M…

math.OA2018

Characterizations of Jordan derivations on algebras of locally measurable operators

Guangyu An, Jun He

We prove that if $M$ is a properly infinite von Neumann algebra and $L S (M)$ is the local measurable operator algebra affiliated with $M$ , then every Jord…