37 citations · 130 across the 21 of their papers we have counts for
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A projection and an effect in a synaptic algebra
David J. Foulis, Anna Jencova, Sylvia Pulmannova
We study a pair p,e consisting of a projection p (an idempotent) and an effect e (an element between 0 and 1) in a synaptic algebra (a generalization of the self-adjoint part of a…
Two projections in a synaptic algebra
David J. Foulis, Anna Jencova, Sylvia Pulmannova
We investigate P. Halmos' two projections theorem, (or two subspaces theorem) in the context of a synaptic algebra (a generalization of the self-adjoint part of a von Neumann algeb…
Abstract Hermitian Algebras I. Spectral Resolution
David J. Foulis, Sylvia Pulmannova
We refer to the real Jordan Banach algebra of bounded Hermitian operators on a Hilbert space as a Hermitian algebra. We define an abstract Hermitian algebra (AH-algebra) to be the…