43 citations · 298 across the 79 of their papers we have counts for
6 papers · 2 filters
Surjective isometries between sets of invertible elements in unital Jordan-Banach algebras
Antonio M. Peralta
Let and be unital Jordan-Banach algebras, and let and denote the sets of invertible elements in and , respectively. Suppose that $\mathfrak{M}\subs…
One-parameter groups of orthogonality preservers on JB-algebras
Jorge J. Garcés, Antonio M. Peralta
In a first objective we improve our understanding about surjective and bijective bounded linear operators preserving orthogonality from a JB-algebra into a JB…
A linear preserver problem on maps which are triple derivable at orthogonal pairs
Ahlem Ben Ali Essaleh, Antonio M. Peralta
A linear mapping on a JB-triple is called triple derivable at orthogonal pairs if for every with we have $$0 = \{T(a), b,c\} + \{a,T(b),c\}+\{a,b,T(…
Can one identify two unital JB-algebras by the metric spaces determined by their sets of unitaries?
María Cueto-Avellaneda, Antonio M. Peralta
Let and be two unital JB-algebras and let and denote the sets of all unitaries in and , respectively. We prove that the follo…
One-parameter groups of orthogonality preservers on C-algebras
Jorge J. Garcés, Antonio M. Peralta
We establish a more precise description of those surjective or bijective continuous linear operators preserving orthogonality between C-algebras. The new description is applied…
On optimality of constants in the Little Grothendieck Theorem
Ondřej F. K. Kalenda, Antonio M. Peralta, Hermann Pfitzner
We explore the optimality of the constants making valid the recently established Little Grothendieck inequality for JB-triples and JB-algebras. In our main result we prove…