English

Compact Sets in the Free Topology

Functional Analysis 2017-10-09 v3

Abstract

Subsets of the set of gg-tuples of matrices that are closed with respect to direct sums and compact in the free topology are characterized. They are, in a dilation theoretic sense, contained in the hull of a single point.

Keywords

Cite

@article{arxiv.1604.04580,
  title  = {Compact Sets in the Free Topology},
  author = {Meric Augat and Sriram Balasubramanian and Scott McCullough},
  journal= {arXiv preprint arXiv:1604.04580},
  year   = {2017}
}

Comments

4 pages, Version 2, Corrections made in the abstract and the main theorem

R2 v1 2026-06-22T13:33:30.938Z