A. Peralta

activity

20122024

most citedA solution to Tingley's problem for isometries between the unit spheres of compact C

^{*}

-algebras and JB

^{*}

-triples

43 citations · 298 across the 79 of their papers we have counts for

collaborators

Showing 2017 · math.OAShow all

4 papers · 2 filters

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★ 5 cited

On the extension of isometries between the unit spheres of von Neumann algebras

Antonio M. Peralta, Francisco J. Fernández-Polo

We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebr…

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…

Preservers of λ-Aluthge transforms

On the extension of isometries between the unit spheres of von Neumann algebras

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