On the Shilov boundary ideal for Fréchet local operator systems

Fuente: arXiv
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Main Authors: Joiţa, Maria, Şimon, Gheorghe-Ionuţ
Format: Preprint
Published: 2026
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_version_ 1866909012447985664
author Joiţa, Maria
Şimon, Gheorghe-Ionuţ
author_facet Joiţa, Maria
Şimon, Gheorghe-Ionuţ
contents We show that the Shilov boundary ideal for a separable Fréchet local operator system is given by the intersection of the kernels of all its $Γ$-boundary representations.
format Preprint
id arxiv_https___arxiv_org_abs_2605_02550
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the Shilov boundary ideal for Fréchet local operator systems
Joiţa, Maria
Şimon, Gheorghe-Ionuţ
Operator Algebras
Functional Analysis
46L05, 46L07, 46L10, 47L25
We show that the Shilov boundary ideal for a separable Fréchet local operator system is given by the intersection of the kernels of all its $Γ$-boundary representations.
title On the Shilov boundary ideal for Fréchet local operator systems
topic Operator Algebras
Functional Analysis
46L05, 46L07, 46L10, 47L25
url https://arxiv.org/abs/2605.02550