Representations of Baer ∗-semigroups

Gudder, Stanley P.; Michel, John R.

doi:10.1090/S0002-9939-1981-0593446-0

Representations of Baer $\ast$-semigroups
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by Stanley P. Gudder and John R. Michel PDF

Proc. Amer. Math. Soc. 81 (1981), 157-163 Request permission

Abstract:

Various types of Hilbert space representations for a Baer *-semigroup $S$ are defined. The representations are characterized in terms of *-positive functions on $S$ which possess additivity and consistency properties.

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