On the Shilov boundary ideal for Fr\'{e}chet local operator systems
Operator Algebras
2026-05-05 v1 Functional Analysis
Abstract
We show that the Shilov boundary ideal for a separable Fr\'{e}chet local operator system is given by the intersection of the kernels of all its -boundary representations.
Cite
@article{arxiv.2605.02550,
title = {On the Shilov boundary ideal for Fr\'{e}chet local operator systems},
author = {Maria Joiţa and Gheorghe-Ionuţ Şimon},
journal= {arXiv preprint arXiv:2605.02550},
year = {2026}
}