Abstract
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.
Original language | English |
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Pages (from-to) | 2780-2782 |
Number of pages | 3 |
Journal | Journal of Mathematical Physics |
Volume | 24 |
Issue number | 12 |
DOIs | |
State | Published - 1982 |