Abstract
This paper investigates mathematical properties of a finite-dimensional real algebra of linear operators which are generated by an orthomodular lattice of filters in the sense of Mielnik [4]. Properties of filter decomposability and a representation theorem for the vector space underlying the algebra mentioned are derived.
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References
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This paper leans on a report presented to and supported by the Deutsche Forschungsgemeinschaft.
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Dähn, G. The algebra generated by physical filters. Commun.Math. Phys. 28, 109–122 (1972). https://doi.org/10.1007/BF01645510
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DOI: https://doi.org/10.1007/BF01645510