Abstract
We show that there are many (compact) convex semialgebraic sets in euclidean space that are not spectrahedral shadows. This gives a negative answer to a question by Nemirovski, resp. it shows that the Helton-Nie conjecture is false.
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CITATION STYLE
APA
Scheiderer, C. (2018). Spectrahedral shadows. SIAM Journal on Applied Algebra and Geometry, 2(1), 26–44. https://doi.org/10.1137/17M1118981
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