12. Let G be an open set in R and S be a subset of R such that GnS = 0.
Prove that Gns' = 0.
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Step-by-step explanation:
algebra A are constructed by means of the so-called GNS representation ... of) C ((λ)) we can imitate the algebraic part of the classical GNS construction for the ... is a formal power series f ∗ g = ∞. ∑ r=0. λrMr(f,g) with bilinear operators Mr : C. ∞ ... infimum of a bounded set can be proved iff the field is Cauchy complete.
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