Positivstellens\"atze for Algebras of Matrices
Algebraic Geometry
2010-08-09 v2 Operator Algebras
Rings and Algebras
Abstract
The paper is concerned with various types of noncommutative Positivstellens\"atze for the matrix algebra , where 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 Positivstellens\"atze 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 provided that it holds for .
Keywords
Cite
@article{arxiv.1004.1529,
title = {Positivstellens\"atze for Algebras of Matrices},
author = {Yurii Savchuk and Konrad Schmüdgen},
journal= {arXiv preprint arXiv:1004.1529},
year = {2010}
}
Comments
28 pages