B*-algebra representations in a quaternionic Hilbert module

A. Soffer, L. P. Horwitz

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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 languageEnglish
Pages (from-to)2780-2782
Number of pages3
JournalJournal of Mathematical Physics
Issue number12
StatePublished - 1982
Externally publishedYes


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