Jorge J. Garc'es

activity

20232025

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math.OA2025

Bilinear maps having Jordan product property

Jorge J. Garcés, Mykola Khrypchenko

We study symmetric continuous bilinear maps $V$ on a C $^{*}$ -algebra $A$ that have the Jordan product property at a fixed element $z \in A$ . We show that, whenever $A$ is a finite dir…

math.OA2024

Maps preserving the truncation of triple products on Cartan factors

Jorge J. Garcés, Lei Li, Antonio M. Peralta +1

Let ${C_{i}}_{i \in Γ_{1}},$ and ${D_{j}}_{j \in Γ_{2}},$ be two families of Cartan factors such that all of them have dimension at least $2$ , and consider the atomic JBW $^{*}$ -triples $A=…

math.OA2023

Bilinear maps on C $^{*}$ -algebras that have product property at a compact element

Jorge J. Garcés, Mykola Khrypchenko

We study bounded bilinear maps on a C $^{*}$ -algebra $A$ having product property at $c \in A$ . This leads us to the question of when a C $^{*}$ -algebra is determined by products at $c .$ I…

Bilinear maps having Jordan product property

Maps preserving the truncation of triple products on Cartan factors

Bilinear maps on C∗-algebras that have product property at a compact element

Bilinear maps on C $^{*}$ -algebras that have product property at a compact element