G. An

activity

20182022

collaborators

6 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

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…

math.OA2018

Characterizations of $(m, n)$ -Jordan derivations on some algebras

Guangyu An, Jun He

Let $R$ be a ring, $M$ be a $R$ -bimodule and $m, n$ be two fixed nonnegative integers with $m + n \neq = 0$ . An additive mapping $δ$ from $R$ into $\m…

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

Characterizing linear mappings through zero products or zero Jordan products

Characterizations of centralizable mappings on algebras of locally measurable operators

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

Characterizations of Jordan derivations on algebras of locally measurable operators

Characterizations of (m,n)-Jordan derivations on some algebras

Characterizations of $(m, n)$ -Jordan derivations on some algebras