31 citations · 50 across the 8 of their papers we have counts for
10 papers
Automatic continuity of biorthogonality preservers between weakly compact JB-triples and atomic JBW-triples
María Burgos, Jorge J. Garcés, Antonio M. Peralta
We prove that every biorthogonality preserving linear surjection from a weakly compact JBtriple containing no infinite dimensional rank-one summands onto another JB-triple…
Linear maps between C*-algebras that are *-homomorphisms at a fixed point
María J. Burgos, J. Cabello-Sánchez, Antonio M. Peralta
Let and be C-algebras. A linear map is said to be a -homomorphism at an element if in implies , an…
Weak-local triple derivations on C*-algebras and JB*-triples
M. J. Burgos, J. C. Cabello, A. M. Peralta
We prove that every weak-local triple derivation on a JB-triple (i.e. a linear map such that for each and each , there exists a triple deriva…
Maps preserving the diamond partial order
María Burgos, Antonio Carlos Márquez-García, Antonio Morales-Campoy
The present paper is devoted to the study of the diamond partial order in general C*-algebras and the description of linearmaps preserving this partial order
Minus partial order and linear preservers
Maria Burgos, Antonio Carlos Márquez-García, Antonio Morales-Campoy
In this paper we investigate the properties of minus partial order in unital rings. We generalize several results well known for matrices and bounded linear operators on Banach spa…
Linear maps between C*-algebras preserving extreme points and strongly linear preservers
María J. Burgos, Antonio C. Márquez-García, Antonio Morales-Campoy +1
We study new classes of linear preservers between C-algebras and JB-triples. Let and be JB-triples with . We prove that every linear map $T:…
2-local triple homomorphisms on von Neumann algebras and JBW-triples
Maria Burgos, Francisco J. FernÁndez-Polo, Jorge J. GarcÉs +1
We prove that every (not necessarily linear nor continuous) 2-local triple homomorphism from a JBW-triple into a JB-triple is linear and a triple homomorphism. Consequently…
A Kowalski-Słodkowski theorem for 2-local -homomorphisms on von Neumann algebras
María Burgos, Francisco J. Fernández-Polo, Jorge J. Garcés +1
It is established that every (not necessarily linear) 2-local -homomorphism from a von Neumann algebra into a C-algebra is linear and a -homomorphism. In the setting of…
Local triple derivations on C*-algebras and JB*-triples
María Burgos, Francisco J. Fernández-Polo, Antonio M. Peralta
In a first result we prove that every continuous local triple derivation on a JB-triple is a triple derivation. We also give an automatic continuity result, that is, we show th…
Local triple derivations on C*-algebras
Maria Burgos, Francisco J. Fernández-Polo, Jorge J. Garcés +1
We prove that every bounded local triple derivation on a unital C*-algebra is a triple derivation. A similar statement is established in the category of unital JB*-algebras.