A Striktpositivstellensatz for measurable functions (corrected version)
Functional Analysis
2009-11-04 v1 Optimization and Control
Abstract
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.
Cite
@article{arxiv.0911.0644,
title = {A Striktpositivstellensatz for measurable functions (corrected version)},
author = {Mihai Putinar},
journal= {arXiv preprint arXiv:0911.0644},
year = {2009}
}