English

Reinhardt Free Spectrahedra

Functional Analysis 2022-01-21 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2012.02289,
  title  = {Reinhardt Free Spectrahedra},
  author = {Scott McCullough and Nicole Tuovila},
  journal= {arXiv preprint arXiv:2012.02289},
  year   = {2022}
}

Comments

Minor corrections and expository upgrades

R2 v1 2026-06-23T20:43:13.583Z