8 papers · 1 filter
Hilbert -module independence
R. Eskandari, J. Hamhalter, M. S. Moslehian +1
We introduce the notion of Hilbert -module independence: Let be a unital -algebra and let , be ternary subspa…
Dye's theorem for tripotents in von Neumann algebras and JBW* triples
Jan Hamhalter
We study morphisms of the generalized quantum logic of tripotents in JBW*-triples and von Neumann algebras. Especially, we establish generalization of celebrated Dye's theorem on o…
Finite tripotents and finite JBW-triples
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We study two natural preorders on the set of tripotents in a JB-triple defined in terms of their Peirce decomposition and weaker than the standard partial order. We further int…
Grothendieck's inequalities for JB-triples: Proof of the Barton-Friedman conjecture
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta +1
We prove that, given a constant and a bounded linear operator from a JB-triple into a complex Hilbert space , there exists a norm-one functional sa…
Measures of weak non-compactness in preduals of von Neumann algebras and JBW-triples
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta +1
We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW-triples. This result is new even for preduals of von Neumann alg…
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…