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  1. No Access

    Article

    Preservation of Order and Orthogonality on Preduals of Jordan Algebras

    We study linear maps between preduals of JBW-algebras that preserve orthogonal decompositions of functionals. We generalize and strengthen results of Bunce and Wright (Pac J Math 158(2):265–272, 1993) obtained...

    E. Chetcuti, J. Hamhalter in Results in Mathematics (2024)

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    Article

    Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space

    Motivated by the Hilbert-space model for quantum mechanics, we define a pre-Hilbert space logic to be a pair \((S,{\mathscr {L}})\) ...

    D. Buhagiar, E. Chetcuti, H. Weber in Annali di Matematica Pura ed Applicata (1923 -) (2021)

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    Article

    Recent Progress on Pre-Hilbert-Space Logics and Their Measure Spaces

    The aim of this survey paper is to summarize the most recent results on pre-Hilbert-space logics and their corresponding measure spaces.

    E. Chetcuti, A. Dvurečenskij in International Journal of Theoretical Physics (2005)

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    Article

    On the (Non)Existence of States on Orthogonally Closed Subspaces in an Inner Product Space

    Suppose that S is an incomplete inner product space. In (Dvurečenskij, 1992, Gleason's Theorem and Its Applications, Ister Science Press, Bratislava, Kluwer Academic Publishers, Dordrecht), A. Dvurečenskij shows ...

    Karl Svozil, E. Chetcuti, P. Pták in International Journal of Theoretical Physics (2005)