Ahlem Ben Ali Essaleh

collaborators

4 papers

math.OA2020

A linear preserver problem on maps which are triple derivable at orthogonal pairs

Ahlem Ben Ali Essaleh, Antonio M. Peralta

A linear mapping $T$ on a JB $^{*}$ -triple is called triple derivable at orthogonal pairs if for every $a, b, c \in E$ with $a ⊥ b$ we have $$0 = \{T(a), b,c\} + \{a,T(b),c\}+\{a,b,T(…

math.OA2017

Preservers of $λ$ -Aluthge transforms

Ahlem Ben Ali Essaleh, Antonio M. Peralta

Let $M$ and $N$ be arbitrary von Neumann algebras. For any $a$ in $M$ or in $N$ , let $Δ_{λ} (a)$ denote the $λ$ -Aluthge transform of $a$ . Suppose that $M$ has no abelian direct summan…

math.OA2017

Linear maps on C*-algebras which are derivations or triple derivations at a point

Ahlem Ben Ali Essaleh, Antonio M. Peralta

We prove new results on generalized derivations on C $^{*}$ -algebras. By considering the triple product ${a, b, c} = 2^{- 1} (a b^{*} c + c b^{*} a)$ , we introduce the study of linear maps…

math.OA2017

Pointwise-generalized-inverses of linear maps between C $^{}$ -algebras and JB $^{}$ -triples

Ahlem Ben Ali Essaleh, Antonio M. Peralta, María Isabel Ramírez

We study pointwise-generalized-inverses of linear maps between C $^{*}$ -algebras. Let $Φ$ and $Ψ$ be linear maps between complex Banach algebras $A$ and $B$ . We say that $Ψ$ is a poin…

A linear preserver problem on maps which are triple derivable at orthogonal pairs

Preservers of λ-Aluthge transforms

Linear maps on C*-algebras which are derivations or triple derivations at a point

Pointwise-generalized-inverses of linear maps between C∗-algebras and JB∗-triples

Preservers of $λ$ -Aluthge transforms

Pointwise-generalized-inverses of linear maps between C $^{}$ -algebras and JB $^{}$ -triples