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math.FA2018
Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space
David Buhagiar, Emmanuel Chetcuti, Hans Weber
Motivated by the Hilbert-space model for quantum mechanics, we define a pre-Hilbert space logic to be a pair $(S,\el)$, where is a pre-Hilbert space and $\el$ is an orthocomple…
math.FA2010★ 1 cited
Loomis--Sikorski Theorem and Stone Duality for Effect Algebras with Internal State
D. Buhagiar, E. Chetcutti, A. Dvurečenskij
Recently Flaminio and Montagna, \cite{FlMo}, extended the language of MV-algebras by adding a unary operation, called a state-operator. This notion is introduced here also for effe…