20 citations · 97 across the 17 of their papers we have counts for
19 papers
Quadratic & additive mappings on operator commuting elements in JBW*-algebras
Gerardo M. Escolano, Jan Hamhalter, Antonio M. Peralta +1
Let and be JBW-algebras whose sets of unitaries are denoted by and , respectively. We show…
Order type relations on the set of tripotents in a JB-triple
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We introduce, investigate and compare several order type relations on the set of tripotents in a JB-triple. The main two relations we address are and . We say th…
Determinants in Jordan matrix algebras
Jan Hamhalter, Ondřej F. K. Kalenda, Antonio M. Peralta
We introduce a natural notion of determinant in matrix JB-algebras, i.e., for hermitian matrices of biquaternions and for hermitian matrices of complex octonions. W…
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…