A Striktpositivstellensatz for measurable functions (corrected version)

Details A Striktpositivstellensatz for measurable functions (corrected version) A Striktpositivstellensatz for measurable functions (corrected version)

2009-11-03

arxiv.org/abs/0911.0644v1

C. R. Acad. Sci. Paris, Ser. I. 347(2009), 381-384

Mathematics

Functional Analysis

Scientific paper

A weighted sums of squares decomposition of positive Borel measurable
functions on a bounded Borel subset of the Euclidean space is obtained via
duality from the spectral theorem for tuples of commuting self-adjoint
operators. The analogous result for polynomials or certain rational functions
was amply exploited during the last decade in a variety of applications.

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