5 papers
Applications of compact multipliers to algebrability of and
Willian Franca, Jorge J. Garcés
We introduce a generator-counting refinement of algebrability for abelian -algebras and related Banach algebras. Given an abelian -algebra , we define -genalgeb…
Bilinear maps having Jordan product property
Jorge J. Garcés, Mykola Khrypchenko
We study symmetric continuous bilinear maps on a C-algebra that have the Jordan product property at a fixed element . We show that, whenever is a finite dir…
Maps preserving the truncation of triple products on Cartan factors
Jorge J. Garcés, Lei Li, Antonio M. Peralta +1
Let and be two families of Cartan factors such that all of them have dimension at least , and consider the atomic JBW-triples $A=…
Invertibility preservers of finitary incidence algebras
Jorge J. Garcés, Mykola Khrypchenko
Let be an arbitrary poset and an arbitrary field. We describe linear unital invertibility preservers of the finitary incidence algebra in terms of certain maps of…
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 having product property at . This leads us to the question of when a C-algebra is determined by products at I…