It is shown that the Gel'fand-Naimark-Segal (GNS) construction can be generalized to real B*-algebras containing an algebra *-isomorphic to the quaternion algebra by the use of quaternion linear functionals and Hilbert Q-modules. An extension of the Hahn-Banach theorem to such functionals is proved.
|Number of pages||3|
|Journal||Journal of Mathematical Physics|
|State||Published - 1982|