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- Publisher
- Springer Journals
- Copyright
- Copyright © 2006 by Birkhäuser Verlag, Basel
- Subject
- Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
- ISSN
- 1385-1292
- eISSN
- 1572-9281
- DOI
- 10.1007/s11117-005-0013-2
- Publisher site
- See Article on Publisher Site
Abstract
In real semialgebraic geometry it is common to represent a polynomial q which is positive on a region R as a weighted sum of squares. Serious obstructions arise when q is not strictly positive on the region R. Here we are concerned with noncommutative polynomials and obtaining a representation for them which is valid even when strict positivity fails.
Journal
Positivity – Springer Journals
Published: Jan 1, 2005