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Reinhardt Free Spectrahedra

Free spectrahedra are natural objects in the theories of operator systems and spaces and completely positive maps. They also appear in various engineering applications. In this paper, free spectrahedra satisfying a Reinhardt symmetry condition are characterized graph theoretically. It is also shown...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: McCullough, Scott, Tuovila, Nicole
Format: Article
Language:English
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Online Access:Get full text
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Summary:Free spectrahedra are natural objects in the theories of operator systems and spaces and completely positive maps. They also appear in various engineering applications. In this paper, free spectrahedra satisfying a Reinhardt symmetry condition are characterized graph theoretically. It is also shown that, for a simple class of such spectrahedra, automorphisms are linear.
ISSN:2331-8422