3 papers
math.OA2025
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…
math.OA2025
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…
math.OA2025
M-ideals in real operator algebras
David P. Blecher, Matthew Neal, Antonio M. Peralta +1
In a recent paper we showed that a subspace of a real JBW*-triple is an M-summand if and only if it is a weak*-closed triple ideal. As a consequence, M-ideals of real JB*-triples,…