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arXiv · 1004.1529

Positivstellensätze for Algebras of Matrices

Yurii Savchuk·Konrad Schmüdgen
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Abstract

The paper is concerned with various types of noncommutative Positivstellensätze for the matrix algebra $M_n(\cA)$, where $\cA$ is an algebra of operators acting on a unitary space, a path algebra, a cyclic algebra or a formally real field. Some new types of Positivstellensätze are proposed and proved, it is shown by examples that they occur. There are a number of results stating that a type of Positivstellensatz is valid for $M_n(\cA)$ provided that it holds for $\cA$.

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BibTeXRIS

Yurii Savchuk, Konrad Schmüdgen. 2010-08-06. Positivstellensätze for Algebras of Matrices. https://arxiv.org/abs/1004.1529

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