Mathematische Annalen

, Volume 331, Issue 4, pp 779–794

A strict Positivstellensatz for the Weyl algebra

Article

Abstract.

Let c be an element of the Weyl algebra Open image in new window which is given by a strictly positive operator in the Schrödinger representation. It is shown that, under some conditions, there exist certain elements b1,...,bd from Open image in new window such that ∑dj=1bjcb*j is a finite sum of squares.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Fakultät für Mathematik und InformatikUniversität LeipzigGermany

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