- June 2018
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- We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including Lp(mu)Lp(mu), Orlicz spaces, and spaces C(K)C(K) of continuous functions on a compact Hausdorff space. In particular, we study decomposition properties, boundedness, and integral representation of continuous valuations.