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:Linear algebra and its applications 2022-05, Vol.640, p.91-117
Main Authors: McCullough, Scott, Tuovila, Nicole
Format: Article
Language:English
Subjects:
Automorphisms
Bianalytic map
Birational map
Free analysis
Free spectrahedron
Linear algebra
Citations: Items that this one cites
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 trivial.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2022.01.015