Divergence

Let (λφ(n))n N be a convergent subsequence of(λn)n N and denote by λ its limit. Thus, the sequence(µλn,Θ)n N weakly converges toµλℓ,Θ as n and Theorem 1 can be applied. This assumption could also be replaced by the assumptionthatκissuchthat(α 1)κ>0. C.3.2 Adaptationof[1,Theorem1] Lemma 7. Assume (A1) and (A4). The proof of Lemma 8 builds on the proof of [1, Lemma 6], which can be found in the supplementarymaterialof[1]. Varµn(Vn)Lα,3, which combined with(34) implies (31).