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 (US) |
|---|---|
| Pages (from-to) | 2780-2782 |
| Number of pages | 3 |
| Journal | Journal of Mathematical Physics |
| Volume | 24 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1982 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
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