Abstract.
Let c be an element of the Weyl algebra which is given by a strictly positive operator in the Schrödinger representation. It is shown that, under some conditions, there exist certain elements b1,...,b d from such that ∑d j=1 b j c b* j is a finite sum of squares.
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Mathematics Subject Classification (2000): 11 E25, 14 P10, 47 L60, 16 W10
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Schmüdgen, K. A strict Positivstellensatz for the Weyl algebra. Math. Ann. 331, 779–794 (2005). https://doi.org/10.1007/s00208-004-0604-4
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DOI: https://doi.org/10.1007/s00208-004-0604-4