6 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…
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=…
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,…
On the equivalence of all notions of generalized derivations whose domain is a C-algebra
Amin Hosseini, Antonio M. Peralta, Shanshan Su
Let be a Banach bimodule over an associative Banach algebra , and let be a linear mapping. Three main uses of the term \e…
-ideals, yet again: the case of real JB-triples
David P. Blecher, Matthew Neal, Antonio M. Peralta +1
We prove that a subspace of a real JBW-triple is an -summand if and only if it is a weak-closed triple ideal. As a consequence, -ideals of real JB-triples corresp…