| Abstract: | Orthosymmetric ortholattices (OSOLs) have beenintroduced in order to approximate Hilbertian lattices(ortholattices of closed subspaces of a Hilbert space).Axioms of OSOLs are selected properties of usual orthogonal symmetries on a Hilbertian latticeand many posets defined by means of associative orJordan algebras possess a set of automorphismssatisfying these axioms. In this paper, we describe andillustrate a method using Jordan triples and whichprovides a common setting for the study oforthosymmetries in associative algebras and Jordanalgebras. |
