SupplementaryMaterial: ExperimentalDesignforLinearFunctionalsinReproducing KernelHilbertSpaces AEstimabilityresults

In the following section, we either describe proof of for implication or equivalences of certain conditionsstudiedinthiswork. We use a different formulation of the relative-bias conditionduetoProposition5. C = BM, andC = BX X, hence we can define L=BX. Lemma 2. The assumption in Definition 4 implies the assumption in Definition 1 withν = J k Likewise, qG = W1/2CV 1/20 X (XV 10 X) 1ϵG is distributed asN(0,Ik). The last final inequality in the statement of the probability follows from taking a square root and triangleinequality,whichfinishestheproof.