43 citations · 298 across the 79 of their papers we have counts for
6 papers · 2 filters
A note on 2-local representations of C-algebras
Antonio M. Peralta
We survey the results on linear local and 2-local homomorphisms and zero products preserving operators between C-algebras, and we incorporate some new precise observations and…
Orthogonally additive, orthogonality preserving, holomorphic mappings between C*-algebras
Jorge J. Garcés, Antonio M. Peralta, Daniele Puglisi +1
We study holomorphic maps between C-algebras and . When is a holomorphic mapping whose Taylor series at zero is uniformly convergin…
Orthogonal forms and orthogonality preservers on real function algebras
Jorge J. Garcés, Antonio M. Peralta
We initiate the study of orthogonal forms on a real C-algebra. Motivated by previous contributions, due to Ylinen, Jajte, Paszkiewicz and Goldstein, we prove that for every con…
Linear isometries between real JB*-triples and C*-algebras
Maria Apazoglou, Antonio M. Peralta
Let be a (not necessarily surjective) linear isometry between two real JB-triples. Then for each there exists a tripotent in the bidual, of $B…
von Neumann algebra preduals satisfy the linear biholomorphic property
Antonio M. Peralta, Laszlo L. Stachó
We prove that for every JBW-triple of rank , the symmetric part of its predual reduces to zero. Consequently, the predual of every infinite dimensional von Neumann alge…
Local triple derivations on real C*-algebras and JB*-triples
Francisco J. Fernández-Polo, Alexis Molino, Antonio M. Peralta
We study when a local triple derivation on a real JB*-triple is a triple derivation. We find an example of a (real linear) local triple derivation on a rank-one Cartan factor of ty…