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math.OA2026
On the Shilov boundary ideal for Fréchet local operator systems
Maria Joiţa, Gheorghe-Ionuţ Şimon
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 -boundary representations.
math.OA2026
The R-Shilov boundary for a local operator space
Maria Joiţa, Gheorghe-Ionuţ Şimon
To extend the notion of the injective envelope of a unital operator space to the locally convex case, Dosi (2014) first introduced the notion of the injective R-envelope for a unit…