5 papers · 1 filter
New insights into linear maps which are anti-derivable at zero
Jiankui Li, Antonio M. Peralta, Shanshan Su
Let be a Banach algebra admitting a bounded approximate unit and satisfying property . Suppose is a continuous linear map, where is an esse…
Uniqueness of Hahn--Banach extensions and inner ideals in real C-algebras and real JB-triples
Lei Li, Antonio M. Peralta, Shanshan Su +1
We show that every closed (resp., weak-closed) inner ideal of a real JB-triple (resp. a real JBW-triple) is Hahn--Banach smooth (resp., weak-Hahn--Banach sm…
The Mackey-Gleason-Bunce-Wright problem for vector-valued measures on projections in a JBW-algebra
Gerardo M. Escolano, Antonio M. Peralta, Armando R. Villena
Let denote the lattice of projections of a JBW-algebra , and let be a Banach space. A bounded finitely additive -valued measur…
Identifying JBW-algebras through their spheres of positive elements
Antonio M. Peralta, Pedro Saavedra
Let and be JBW-algebras with projection lattices and , and let $Θ: \mathcal{P} (\mathfrak…
An algebraic characterization of linearity for additive maps preserving orthogonality
Lei Li, Siyu Liu, Antonio M. Peralta
We study when an additive mapping preserving orthogonality between two complex inner product spaces is automatically complex-linear or conjugate-linear. Concretely, let and …