23 citations · 72 across the 7 of their papers we have counts for
6 papers · 1 filter
Automatic continuity of biorthogonality preservers between compact C-algebras and von Neumann algebras
Mar\' ia Burgos, Jorge J. Garcés, Antonio M. Peralta
We prove that every biorthogonality preserving linear surjection between two dual or compact C-algebras or between two von Neumann algebras is automatically continuous.
Generalised triple homomorphisms and Derivations
Jorge J. Garcés, Antonio M. Peralta
We introduce generalised triple homomorphism between Jordan Banach triple systems as a concept which extends the notion of generalised homomorphism between Banach algebras given by…
A Kaplansky Theorem for JB*-triples
Francisco J. Fernández-Polo, Jorge J. Garcés, Antonio M. Peralta
Let be a non-necessarily continuous triple homomorphism from a (complex) JB-triple (respectively, a (real) JB-triple) to a normed Jordan triple. The foll…
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…
Complete orthogonality preservers between C-algebras
Jorge J. Garcés
We introduce -orthogonality (and completely orthogonality) preserving operators between C-algebras. Our main theorem states that every completely orthogonality preserving bo…
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…