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Showing 1 to 3 of 3 for “"stable rank"”.
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Focused polynomials, random projections and approximation algorithms for polynomial optimization over the sphere
… of the random projection is at least the stable rank of the matrix representation of this polynomial, its maximum over the sphere is preserved within a constant factor. We then show that the stable rank of matrices representing quadratic focused polynomials is also small, and how some …
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Automorphism Groups of Quadratic Modules and Manifolds
… linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, we do not assume the modules and quadratic modules to be well-behaved in any sense: for example, the quadratic form may be singular. This …
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Tracial Rokhlin Property and Non-Commutative Dimensions
… A has either of the following property: tracial rankk, stable rank one, real rank zero. Then C*: G, A, α) has the same property.</p>