Compact Sets in the Free Topology
Abstract
Subsets of the set of $g$-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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2016
- DOI:
- 10.48550/arXiv.1604.04580
- arXiv:
- arXiv:1604.04580
- Bibcode:
- 2016arXiv160404580A
- Keywords:
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- Mathematics - Functional Analysis
- E-Print:
- 4 pages, Version 2, Corrections made in the abstract and the main theorem