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Real Orthogonal Projections as Quantum Logic

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In this paper, we study linear operators on real and complex Euclidean spaces which are real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only… Click to show full abstract

In this paper, we study linear operators on real and complex Euclidean spaces which are real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only the real part of scalar product vanishes. We can compare some partial order properties of the orthogonal and of the R-orthogonal projections. We prove that the set of all R-orthogonal projections in finite-dimensional complex space is a quantum logic.

Keywords: projections quantum; real orthogonal; orthogonal projections; quantum logic

Journal Title: International Journal of Theoretical Physics
Year Published: 2017

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