3 papers
math.OA2018
The order topology on duals of C-algebras and von Neumann algebras
Emmanuel Chetcuti, Jan Hamhalter
For a von Neumann algebra we study the order topology associated with the hermitian part and to intervals of the predual . It is shown t…
math.FA2018
Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space
David Buhagiar, Emmanuel Chetcuti, Hans Weber
Motivated by the Hilbert-space model for quantum mechanics, we define a pre-Hilbert space logic to be a pair $(S,\el)$, where is a pre-Hilbert space and $\el$ is an orthocomple…
math.OA2007
Noncommutative Vitali-Hahn-Saks Theorem holds precisely for finite -algebras
E. Chetcuti, J. Hamhalter
It is shown that the bona fide generalization of the Vitali-Hahn-Saks Theorem to von Neumann algebras is possible if, and only if, the algebra is finite. This settles the problem o…