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A.C. Zaanen abelian analytic assume Banach lattice Banach space Carleman operator Cartan subspace cofibrant Communicated by Prof compact complete Riesz space component condition consider contains continued fraction continuous linear convergent corepresentation corollary curve Dedekind complete defined definition denote disjoint element equation exists finite foliation follows formula function spaces functor Gauss-Manin connection given Hence homomorphism hyperelliptic hyperplane sections ideal implies induction integral invariant irreducible isomorphism kernel L(G)-module lemma Let G Lie algebra Math MATHEMATICS Proceedings module morphism multiplicative representation Netherlands Communicated nilpotent non-archimedean normal normal subgroup notation obtain order bounded order continuous norm paper points Proceedings A 86 proof of Theorem Proposition prove remark resp result Riesz space ruled surfaces satisfies semigroup semisimple sequence simplicial sets Springer subgroup subset Suppose surface surjective theory topology transform unique universal completion vector lattice vector space zero