7 citations · 16 across the 6 of their papers we have counts for
5 papers · 1 filter
On the extension of isometries between the unit spheres of von Neumann algebras
Antonio M. Peralta, Francisco J. Fernández-Polo
We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear isometry between these two algebr…
Low rank compact operators and Tingley's problem
Francisco J. Fernández'Polo, Antonio M. Peralta
Let and be arbitrary weakly compact JB-triples whose unit spheres are denoted by and , respectively. We prove that every surjective isometry $f: S(E) \to S…
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
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.