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arXiv · 2605.02550

On the Shilov boundary ideal for Fr\'{e}chet local operator systems

Maria Joiţa·Gheorghe-Ionuţ Şimon
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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 $\Gamma$-boundary representations.

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Maria Joiţa, Gheorghe-Ionuţ Şimon. 2026-05-04. On the Shilov boundary ideal for Fr\'{e}chet local operator systems. https://arxiv.org/abs/2605.02550

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