Abstract
It is shown that the *-algebraR of test-functions for a quantum field is reduced, i.e. for eachb∈R,b≠0, there exists a positive continuous linear functionalW(a) onR withW(b)≠0.
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References
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On leave of absence from Mathematisches Institut, Karl-Marx-Universität Leipzig.
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Lassner, G., Uhlmann, A. On positive functionals on algebras of test functions for quantum fields. Commun.Math. Phys. 7, 152–159 (1968). https://doi.org/10.1007/BF01648332
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DOI: https://doi.org/10.1007/BF01648332