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math.FA2015
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…
math.FA2015
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…