Jorge J. Garc'es

collaborators

4 papers

math.OA2025

Bilinear maps having Jordan product property

Jorge J. GarcÃ©s, 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.FA2025

Applications of compact multipliers to algebrability of $(ℓ_{\infty} ∖ c_{0}) \cup {0}$ and $(B (ℓ_{2} (N)) ∖ K (ℓ_{2} (N)) \cup {0} .$

Willian Franca, Jorge J. GarcÃ©s

We introduce a generator-counting refinement of algebrability for abelian $C^{*}$ -algebras and related Banach algebras. Given an abelian $C^{*}$ -algebra $A$ , we define $(C^{*})$ -genalgeb…

math.OA2024

Maps preserving the truncation of triple products on Cartan factors

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

math.RA2024

Invertibility preservers of finitary incidence algebras

Let $X$ be an arbitrary poset and $K$ an arbitrary field. We describe linear unital invertibility preservers of the finitary incidence algebra $F I (X, K)$ in terms of certain maps of…

Bilinear maps having Jordan product property

Applications of compact multipliers to algebrability of (ℓ∞​∖c0​)∪{0} and (B(ℓ2​(N))∖K(ℓ2​(N))∪{0}.

Maps preserving the truncation of triple products on Cartan factors

Invertibility preservers of finitary incidence algebras

Applications of compact multipliers to algebrability of $(ℓ_{\infty} ∖ c_{0}) \cup {0}$ and $(B (ℓ_{2} (N)) ∖ K (ℓ_{2} (N)) \cup {0} .$